Talk_id  Date  Speaker  Title 
4112

Wednesday 9/6 4:10 PM

Ustun Yildirim, MSU

Complexified Cayley Grassmannian
 Complexified Cayley Grassmannian
 09/06/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Ustun Yildirim, MSU
No abstract available.

4103

Thursday 9/7 11:00 AM

Erik Bates, Stanford University

Lowtemperature localization of directed polymers
 Lowtemperature localization of directed polymers
 09/07/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Erik Bates, Stanford University
On the ddimensional integer lattice, directed polymers can be seen as paths of a random walk in random environment, except that the environment updates at each time step. The result is a statistical mechanical system, whose qualitative behavior is governed by a temperature parameter and the law of the environment. Historically, the phase transitions of this system have been best understood by whether or not the path’s endpoint localizes. While the endpoint is no longer a Markov process as in a random walk, its quenched distribution is. The key difficulty is that the space of measures is too large for one to expect convergence results. By adapting methods recently used by Mukherjee and Varadhan, we develop a compactification theory to resolve the issue. In this talk, we will discuss this intriguing abstraction, as well as new concrete theorems it allows us to prove for directed polymers constructed from SRW or any other walk. (This talk is based on joint work with Sourav Chatterjee.)

4073

Thursday 9/7 2:00 PM

Mark Greenfield, University of Michigan

Thurston's metric on Teichmueller spaces of flat ntori
 Thurston's metric on Teichmueller spaces of flat ntori
 09/07/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Mark Greenfield, University of Michigan
Several interesting metrics have been defined for Teichmueller spaces of hyperbolic surfaces. However, analogous metrics on the Teichmueller space of flat ntori have not been as well studied. After reviewing some background on Teichmueller theory, we will define an analog of Thurston's metric for these spaces. We find that in dimension n=2, it agrees with the hyperbolic metric. In particular, this gives a new way to realize the hyperbolic plane as the moduli space of marked flat tori. Time permitting, we will describe the corresponding situation in dimension n>2. This work is joint with Lizhen Ji.

4111

Thursday 9/7 4:10 PM

MSU Postdocs

Postdoc Lightning Talks
 Postdoc Lightning Talks
 09/07/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 MSU Postdocs
No abstract available.

4113

Friday 9/8 3:00 PM

Robert J. Rietz, MAAA

Actuarial Kickoff Lecture
 Actuarial Kickoff Lecture
 09/08/2017
 3:00 PM  4:30 PM
 B117 Wells Hall
 Robert J. Rietz, MAAA
"Effects of Gainsharing Provisions on the Selection of a
Discount Rate for a Defined Benefit Pension Plan

4119

Monday 9/11 3:00 PM

Charlotte Ure, MSU

The Burnside Problem and PITheory
 The Burnside Problem and PITheory
 09/11/2017
 3:00 PM  3:50 PM
 C304 Wells Hall
 Charlotte Ure, MSU
No abstract available.

4107

Monday 9/11 4:10 PM

Katherine Raoux, MSU

τinvariants for knots in rational homology spheres
 τinvariants for knots in rational homology spheres
 09/11/2017
 4:10 PM  5:30 PM
 C304 Wells Hall
 Katherine Raoux, MSU
Using the knot filtration on the Heegaard Floer chain complex, Ozsváth and Szabó defined an invariant of knots in the 3sphere called τ(K). In particular, they showed that τ(K) is a lower bound for the 4ball genus of K. Generalizing their construction, I will show that for a (not necessarily nullhomologous) knot, K, in a rational homology sphere, Y, we can define a collection of τinvariants, one for each spinc structure on Y. In addition, these invariants give a lower bound for the genus of a surface with boundary K properly embedded in a negative definite 4manifold with boundary Y.

4117

Tuesday 9/12 11:00 AM


Reading seminar on Topological Insulators
 Reading seminar on Topological Insulators
 09/12/2017
 11:00 AM  12:00 PM
 C304 Wells Hall

In the study of quantum phases, the concept of topological invariant has emerged as a new paradigm beyond that of Landau theory. The relevance of topology for the classification of phases has been known since the discovery of the quantum hall effect. However, recent theoretical and experimental discoveries of new topological insulators has led to a renewed interest. The purpose of this reading group is to explore both recent and classical results for topological insulators including but not limited to (1) bulkboundary correspondence (2) Ktheoretic classification of topological insulators (3) topological invariants in the presence of disorder (4) quantization of Hall conductance in interacting systems.

4114

Tuesday 9/12 4:10 PM

Bruce Sagan, Michigan State University

Bounding Roots of Polynomials
 Bounding Roots of Polynomials
 09/12/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Bruce Sagan, Michigan State University
We will present methods for bounding the modulus of the complex roots of a polynomial. These include the Cauchy bound and the use of Newton polynomials, the latter also being useful in interpolation problems. No background outside of elementary calculus will be assumed. In a subsequent talk, we will use these techniques to make progress on a conjecture about the roots of a polynomial of combinatorial interest.

4104

Thursday 9/14 11:00 AM

Matthew Cha, MSU

Stability of superselection sectors in infinite quantum spin systems
 Stability of superselection sectors in infinite quantum spin systems
 09/14/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Matthew Cha, MSU
Superselection sectors are equivalence classes of unitarily equivalent representations and can be used to label charges in a quantum system. We consider a family of superselection sectors for infinite quantum spin systems corresponding to almost localized endomorphisms. If the vacuum state is pure and satisfies certain locality conditions, we show how to recover the charge statistics. In particular, the superselection structure is that of a braided tensor category, and further, is stable against deformations by a quasilocal dynamics. We apply our results to prove stability of anyons in Kitaev's quantum double. Braided tensor categories naturally appear as the algebraic theory of anyons in topological phases of matter. Our results provide evidence that the anyonic structure is an invariant of topologically ordered states. This is work is joint with Pieter Naaijkens and Bruno Nachtergaele.

4102

Thursday 9/14 2:00 PM

Diana Hubbard, University of Michigan

On the braid index and the fractional Dehn twist coefficient
 On the braid index and the fractional Dehn twist coefficient
 09/14/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Diana Hubbard, University of Michigan
The braid index of a knot is the least number of strands necessary to represent the knot as a closure of a braid on that many strands. If we view a braid as an element of the mapping class group of the punctured disk, its fractional Dehn twist coefficient (FDTC) is a number that measures the amount of twisting it exerts about the boundary of the disk. In this talk I will demonstrate that nbraids with FDTC larger than n1 realize the braid index of their closure. The proof uses the concordance homomorphism Upsilon arising from knot Floer homology as a crucial tool. This is joint work with Peter Feller.

4121

Thursday 9/14 4:10 PM

Raluca Balan, University of Ottawa

Second order Lyapunov exponent for the hyperbolic Anderson model
 Second order Lyapunov exponent for the hyperbolic Anderson model
 09/14/2017
 4:10 PM  5:00 PM
 C405 Wells Hall
 Raluca Balan, University of Ottawa
In this talk, I will present some recent results regarding the asymptotic behavior of the second moment of the solution to the hyperbolic Anderson model in arbitrary spatial dimension d, driven by a Gaussian noise which is white in time. Two cases are considered for the spatial covariance structure of the noise: (i) the Fourier transform of the spectral measure of the noise is a nonnegative locallyintegrable function; (ii) d=1 and the noise is a fractional Brownian motion in space with index 1/4<H<1/2. These results are derived from a connection between the hyperbolic and parabolic models, and the recent powerful results of Huang, Le and Nualart (2015) for the parabolic model. This talk is based on joint work with Jian Song (University of Hong Kong).

4108

Thursday 9/14 4:10 PM

Rayan Saab, UCSD

Phase retrieval from local measurements
 Phase retrieval from local measurements
 09/14/2017
 4:10 PM  5:00 PM
 C517 Wells Hall
 Rayan Saab, UCSD
We consider an instance of the phaseretrieval problem, where one wishes to recover a signal (viewed as a vector) from the noisy magnitudes of its inner products with locally supported vectors. Such measurements arise, for example, in ptychography, which is an imaging technique used in lenseless Xray microscopes and in optical microscopes with increased fields of view.
Starting with the setup where the signal is onedimensional, we present theoretical and numerical results on an approach that has two important properties. First, it allows deterministic measurement constructions (which we give examples of). Second, it uses a robust, fast recovery algorithm that consists of solving a system of linear equations in a lied space, followed by finding an eigenvector (e.g., via an inverse power iteration). We also present extensions to the twodimensional setting.
This is joint work with M. Iwen, B. Preskit, and A. Viswanathan.

4091

Thursday 9/14 4:10 PM

Jason Starr, Stony Brook University

Solving polynomials with (higher) positive curvature
 Solving polynomials with (higher) positive curvature
 09/14/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Jason Starr, Stony Brook University
A smooth solution set of a system of complex polynomials is a manifold that can be studied geometrically. About 15 years ago, two results proved the existence of solutions of the system over a "function field of a complex curve" (GraberHarrisStarr) and over a finite field (Esnault) provided the associated complex manifolds have positive curvature in a weak sense (rational connectedness). More recently, when
the manifold satisfies a higher version of positive curvature (rational simple connectedness), a similar result was proved over a function field of a complex surface (de JongHeStarr). I will explain these results, some applications to algebra (Serre's "Conjecture II", "PeriodIndex"), and recent extensions, joint with Chenyang Xu, to "function fields over finite fields" and Ax's "PAC fields".

4128

Monday 9/18 3:00 PM

Nicholas Ovenhouse, MSU

Groupoids and Groupoid Objects
 Groupoids and Groupoid Objects
 09/18/2017
 3:00 PM  3:50 PM
 C304 Wells Hall
 Nicholas Ovenhouse, MSU
The concept of a groupoid is a very general one, abstracting and generalizing many different concepts and definitions, including groups, group actions, equivalence relations, vector bundles, fundamental groups, and many others. I will define groupoids and give many examples, and then discuss the notion of "groupoid objects" in a category, which is the analogue of the notion of a "group object". Examples include Lie groupoids, symplectic groupoids, and algebraic groupoids.

4127

Monday 9/18 4:10 PM

Katherine Raoux, MSU

τinvariants for knots in rational homology spheres (2)
 τinvariants for knots in rational homology spheres (2)
 09/18/2017
 4:10 PM  5:30 PM
 C304 Wells Hall
 Katherine Raoux, MSU
Using the knot filtration on the Heegaard Floer chain complex, Ozsváth and Szabó defined an invariant of knots in the 3sphere called τ(K). In particular, they showed that τ(K) is a lower bound for the 4ball genus of K. Generalizing their construction, I will show that for a (not necessarily nullhomologous) knot, K, in a rational homology sphere, Y, we can define a collection of τinvariants, one for each spinc structure on Y. In addition, these invariants give a lower bound for the genus of a surface with boundary K properly embedded in a negative definite 4manifold with boundary Y.

5133

Tuesday 9/19 11:00 AM

Matthew Cha

Reading seminar on Topological Insulators
 Reading seminar on Topological Insulators
 09/19/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Matthew Cha
In the study of quantum phases, the concept of topological invariant has emerged as a new paradigm beyond that of Landau theory. The relevance of topology for the classification of phases has been known since the discovery of the quantum hall effect. However, recent theoretical and experimental discoveries of new topological insulators has led to a renewed interest. The purpose of this reading group is to explore both recent and classical results for topological insulators including but not limited to (1) bulkboundary correspondence (2) Ktheoretic classification of topological insulators (3) topological invariants in the presence of disorder (4) quantization of Hall conductance in interacting systems.

4123

Tuesday 9/19 4:10 PM

Bruce Sagan, Michigan State University

Roots of descent polynomials
 Roots of descent polynomials
 09/19/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Bruce Sagan, Michigan State University
Let S_n be the symmetric group of all permutations p = p_1 ... p_n of the numbers 1, ..., n. The descent set of p is the set of indices i such that p_i > p_{i+1}. Given a set of positive integers I we let d(I;n) be the number of permutations in S_n with descent set I. In 1915 MacMahon proved that d(I;n) is a polynomial in n, but its properties do not seem to have been much studied until now. We apply the method of Newton bases from the previous lecture to make progress on a conjecture about the location of the roots of d(I;n) where n is now a complex number. This is joint work with Alexander DiazLopez, Pamela Harris, Erik Insko, and Mohamed Omar.

5132

Wednesday 9/20 4:10 PM

Wenzhao Chen, MSU

Introduction to CassonGordon invariants
 Introduction to CassonGordon invariants
 09/20/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Wenzhao Chen, MSU
This is an introductory talk on why and how Casson and Gordon defined CassonGordon invariants, based on their paper "Cobordism of classical knots".

5130

Thursday 9/21 10:00 AM

Eric Bucher, MSU

What is a cluster algebra?
 What is a cluster algebra?
 09/21/2017
 10:00 AM  10:50 AM
 C304 Wells Hall
 Eric Bucher, MSU
This will be the first talk of the fall cluster algebra seminar. We have some new attendees this semester so we will start with the basics, discussing definitions and examples of cluster algebras.

4096

Thursday 9/21 11:00 AM

Gang Zhou, SUNY Binghamton

On the quantum and PDE models of Polaron
 On the quantum and PDE models of Polaron
 09/21/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Gang Zhou, SUNY Binghamton
Polaron theory is a model of an electron in a crystal lattice.
It is studied in the framework of nonequilibrium statistic mechanics.
There are two different mathematical models: H. Frohlich proposed a
quantum model in 1937; L. Landau and S. I. Pekar proposed a system of
nonlinear PDEs in 1948. In this talk I will present a proof that these
two models are equivalent to certain orders, and present some other
related works. These are joint works with Rupert Frank.

4089

Thursday 9/21 2:00 PM

Adam Jacob, UC Davis

The deformed HermitianYangMills equation
 The deformed HermitianYangMills equation
 09/21/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Adam Jacob, UC Davis
In this talk I will discuss a complex generalization of the special Lagrangian graph equation of HarveyLawson. I will discuss methods for constructing solutions, and relate the solvability of the equation with notions of stability from symplectic and algebraic geometry. This is joint work with T.C. Collins and S.T. Yau.

4122

Thursday 9/21 3:00 PM

Dapeng Zhan, MSU

Parametrized SLE curves with selfsimilarity and stationary increments
 Parametrized SLE curves with selfsimilarity and stationary increments
 09/21/2017
 3:00 PM  3:50 PM
 C405 Wells Hall
 Dapeng Zhan, MSU
We describe an SLE$_\kappa$ curve, $\kappa\in(0,8)$, which is parametrized by $(d:=1+\frac \kappa 8)$dimensional Minkowski content, and has selfsimilarity of exponent $1/d$ and stationary increments. We then prove that such SLE$_\kappa$ curve is $\alpha$H\"older continuous for any $\alpha<1/d$, and Mckean's dimension theorem holds for this curve.

5134

Friday 9/22 4:00 PM

Rodrigo Bezerra Matos, MSU

Introduction to ergodic Schrodinger operators I
 Introduction to ergodic Schrodinger operators I
 09/22/2017
 4:00 PM  5:00 PM
 C117 Wells Hall
 Rodrigo Bezerra Matos, MSU
This is the first introductory talk of the reading seminar. The main goals are to show that spectra of ergodic operators are almost surely invariant, and to introduce several important objects such as the integrated density of states.

4090

Monday 9/25 4:10 PM

Tye Lidman, NCSU

Band surgeries between knots
 Band surgeries between knots
 09/25/2017
 4:10 PM  5:30 PM
 C304 Wells Hall
 Tye Lidman, NCSU
Attaching a halftwisted band to a knot produces a nonorientable cobordism to a new knot. The knots which admit such band moves to the unknots are quite simple  they are all cabled knots. We characterize when there exists such a band move between other families of knots. This is joint work with Allison Moore.

5137

Tuesday 9/26 4:10 PM

Robert Davis, MSU

A Combinatorial Description of Schur Functions
 A Combinatorial Description of Schur Functions
 09/26/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Robert Davis, MSU
A symmetric function is a formal power series in countably many variables that is fixed under any permutation of the indices of the variables. The set of symmetric functions forms a vector space (actually, a graded algebra), and so it is natural to look for convenient bases of the space. In this talk, we will describe four "easy" bases and one more subtle, but much more important, basis, called the basis of Schur functions. We will give the combinatorial definition of Schur functions and highlight some of its uses in various branches of mathematics.

4097

Thursday 9/28 11:00 AM

Günter Stolz, University of Alabama Birmingham

Localization in the droplet spectrum of the random XXZ spin chain
 Localization in the droplet spectrum of the random XXZ spin chain
 09/28/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Günter Stolz, University of Alabama Birmingham
The XXZ quantum spin chain in random exterior field is one of the models where numerics indicate the existence of a manybody localization transition. We will discuss recent joint work with Alexander Elgart and Abel Klein, which provides rigorous results on the localization side of the expected transition. We show several of the accepted manifestations of MBL at the bottom of the spectrum for the random XXZ chain in the Ising phase. In this regime spins form quasiparticles in the form of droplets (of, say, downspins in a sea of upspins), which become fully localized under the addition of a random field.

4105

Thursday 9/28 2:00 PM

Renaud Detcherry, MSU

Turaev Viro invariants and Gromov norm
 Turaev Viro invariants and Gromov norm
 09/28/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Renaud Detcherry, MSU
According to Chen and Yang's volume conjecture, the asymptotics of the TuraevViro invariants of a 3manifold predicts its hyperbolic volume. We show a compatibility between TuraevViro invariants and JSJdecomposition and get an ineqality relating TuraevViro invariants and Gromov norm.

4106

Thursday 9/28 4:10 PM

Günter Stolz, University of Alabama Birmingham

What is manybody localization?
 What is manybody localization?
 09/28/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Günter Stolz, University of Alabama Birmingham
The phenomenon of manybody localization (MBL), as opposed to oneparticle or Anderson localization, has recently received strong attention in the physics and quantum information literature. We will discuss the difference between these two concepts and then propose disordered quantum spin systems as a suitable model to study MBL. Among the possible manifestations of MBL we will mention the absence of manybody (or information) transport as well as area laws for the quantum entanglement of eigenstates. Examples where these properties can be proven include the random XY chain and, more recently, the droplet regime of the random XXZ chain. But many problems remain open.

4118

Monday 10/2 4:10 PM

Thomas Walpuski, MSU

Counting associatives and SeibergWitten equations
 Counting associatives and SeibergWitten equations
 10/02/2017
 4:10 PM  5:30 PM
 C304 Wells Hall
 Thomas Walpuski, MSU
There is a natural functional on the space of orientation 3dimensional submanifolds in a G2manifold. Its critical points are associative submanifolds, a special class of volumeminimizing submanifolds which obey an elliptic deformation theory. Given this, it is a natural question whether one can count associative submanifolds in order to construct an enumerative invariant for G2–manifolds. I will explain several geometric scenarios, which prohibit a naive count of such submanifolds cannot possible be invariant. I will then go on to discuss how (generalized) SeibergWitten equations might help cure these problems.

4099

Tuesday 10/3 11:00 AM

Akos Nagy, Fields Institute/University of Waterloo

BPS monopoles with nonmaximal symmetry breaking and the Nahm transform
 BPS monopoles with nonmaximal symmetry breaking and the Nahm transform
 10/03/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Akos Nagy, Fields Institute/University of Waterloo
The notion of “broken symmetry” is central in gauge theories. For BPS monopoles, symmetry breaking can be defined in terms of the eigenvalues of the Higgsfield at infinity. The symmetry breaking is maximal if the eigenvalues are distinct. Monopoles with maximal symmetry breaking have been studied extensively by both mathematicians and physicists for decades now, but little is known about the general case.
In this talk, I will show how to produce monopoles with arbitrary symmetry breaking using the Nahm transform, and I will also outline the construction of its inverse. The inversion heavily uses first order elliptic PDE's on noncompact spaces, more concretely, the theory of Calliastype operators in 3D.
This is a joint project with Benoit Charbonneau.

5138

Tuesday 10/3 4:10 PM

Robert Davis, MSU

Follow the Rules!
 Follow the Rules!
 10/03/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Robert Davis, MSU
Schur functions are among the most useful bases for symmetric functions, but they come at the cost of making certain computations much less obvious than when done in other bases. In particular, how can we determine the coefficients of a product of Schur functions in the basis of Schur functions? There are many equivalent ways to computing these numbers; this talk will discuss jeu de taqin, which is an equivalence among skew tableaux, and apply it to obtain a formulation of the LittlewoodRichardson rule, which answers our question. If time allows, we will discuss other important formulations of this rule.

4125

Wednesday 10/4 4:10 PM

Demetrios Christodoulou, ETH Zurich

The Development of Shocks in Compressible Fluids
 The Development of Shocks in Compressible Fluids
 10/04/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Demetrios Christodoulou, ETH Zurich
The lecture shall trace the history of the theoretical study of the formation and evolution of shocks in compressible fluids, starting with the fundamental work of Riemann, the first work on nonlinear hyperbolic partial differential equations. Riemann considered the case of plane symmetry where the problem reduces to 1 spatial dimension. One milestone in the development of the theory was the work of Sideris who gave the first general proof of the finite time breakdown of smooth solutions in 3 spatial dimensions. Another milestone was the work of Majda who first addressed the problem of the local in time continuation of a shock front as a nonlinear free boundary problem for a nonlinear hyperbolic system of partial differential equations. I shall then discuss my own work, which uses differential geometric methods and resolves the resulting singularities giving a complete description in terms of smooth functions.
My first work studies the maximal smooth development of given smooth initial data, the boundary of the domain of this development, and the behavior of the solution at this boundary. The boundary contains certain singular hypersurfaces which originate from certain singular surfaces. The singular surfaces do occur in nature, but not the singular hypersurfaces. My second work studies the physical evolution beyond the singular surfaces by solving a nonlinear free boundary problem with singular initial conditions associated to each of the singular surfaces. From each singular surface a shock hypersurface issues which appears as the corresponding free boundary.

4124

Thursday 10/5 2:00 PM

Thomas Walpuski, MSU

Wallcrossing for the SeibergWitten equation with two spinors
 Wallcrossing for the SeibergWitten equation with two spinors
 10/05/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Thomas Walpuski, MSU
Unlike for the classical SeibergWitten equation, compactness fails for the SeibergWitten equation with multiple spinors. This noncompactness is caused by Fueter sections with values in the moduli space of charge 1 SU(n) ASD instantons. In the simplest case, n = 2, those are Z/2 harmonic spinors. In this talk I will explain in more detail what the preceding sentences mean and then discuss the wallcrossing caused by the appearance of (nonsingular) Z/2 harmonic spinors.
This is joint work with Aleksander Doan.

4092

Thursday 10/5 4:10 PM

Björn Sandstede, Brown University

TBA
 TBA
 10/05/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Björn Sandstede, Brown University
No abstract available.

5136

Tuesday 10/10 1:30 PM


Mathematics Education Colloquium
 Mathematics Education Colloquium
 10/10/2017
 1:30 PM  3:00 PM
 252 EH

Title: Students’ graphing activities: Representations of what?
Abstract:
Students’ representational activities are key to their mathematical development. Specifically, students’ representational activities in constructing displayed graphs can afford them the figurative material necessary to engage in and abstract mental operations. In this talk, I draw on Piagetian ideas to frame the sophistication of students’ ways of thinking for graphing. Namely, I illustrate distinctions between those ways of thinking dominated by sensorimotor experience and those ways of thinking dominated by the coordination of mental actions. Against the backdrop of these distinctions, I argue that we, as educators and researchers, need to broaden students’ representational experiences. Instructionally, doing so can afford students increased opportunities to construct productive and generative ways of thinking for mathematical ideas and concepts. In terms of research, broadening students’ representational experiences enables researchers to form more viable and detailed working hypotheses of students’ ways of thinking for graphing and related topics.

5135

Wednesday 10/11 4:10 PM

Tyler Bongers, MSU

TBA
 TBA
 10/11/2017
 4:10 PM  5:00 PM
 C517 Wells Hall
 Tyler Bongers, MSU
No abstract available.

4098

Thursday 10/12 11:00 AM

Otis Chodosh

TBA
 TBA
 10/12/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Otis Chodosh
No abstract available.

4093

Thursday 10/12 4:10 PM

Frank Sottile, Texas A&M University

TBA
 TBA
 10/12/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Frank Sottile, Texas A&M University
No abstract available.

4115

Thursday 10/19 2:00 PM

Elmas Irmak, Bowling Green State University

seminar
 seminar
 10/19/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Elmas Irmak, Bowling Green State University
No abstract available.

4129

Thursday 10/19 4:10 PM

Laura DeMarco, Northwestern University

Complex dynamics and elliptic curves
 Complex dynamics and elliptic curves
 10/19/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Laura DeMarco, Northwestern University
In this talk, I will present some connections between recent research in dynamical systems and the classical theory of elliptic curves and rational points. The main goal is to explain the role of dynamical stability and bifurcations in deducing arithmetic finiteness statements. I will focus on three examples: (1) the theorem of Mordell and Weil from the 1920s, presented from a dynamical point of view; (2) a recent result of Masser and Zannier about torsion points on elliptic curves, and (3) features of the Mandelbrot set.

5139

Friday 10/20 4:10 PM

Laura DeMarco, Northwestern University

The Mandelbrot set: what we know today
 The Mandelbrot set: what we know today
 10/20/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Laura DeMarco, Northwestern University
The Mandelbrot set is one of the most famous objects in modern mathematics. We see images of it everywhere, but despite its popularity and decades of research, we still don't fully understand it. I will survey results about the Mandelbrot set, from its discovery to today.

4094

Thursday 10/26 4:10 PM


TBA
 TBA
 10/26/2017
 4:10 PM  5:00 PM
 C304 Wells Hall

No abstract available.

4100

Thursday 11/2 11:00 AM

Marius Lemm, IAS

TBA
 TBA
 11/02/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Marius Lemm, IAS
No abstract available.

5128

Thursday 11/2 2:00 PM


Meera Mainkar
 Meera Mainkar
 11/02/2017
 2:00 PM  3:00 PM
 C304 Wells Hall

TBA

4109

Friday 11/10 4:10 PM

Ben Schmidt, Mathematics, MSU

TBA
 TBA
 11/10/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Ben Schmidt, Mathematics, MSU
No abstract available.

4120

Thursday 11/16 2:00 PM

Elizabeth Munch, MSU

TBA
 TBA
 11/16/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Elizabeth Munch, MSU
No abstract available.

5131

Thursday 11/23 2:00 PM


ThanksgivingNo seminar
 ThanksgivingNo seminar
 11/23/2017
 2:00 PM  3:00 PM
 C304 Wells Hall

No abstract available.

5129

Thursday 11/30 2:00 PM

J.D. Quigley, University of Notre Dame

TBA
 TBA
 11/30/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 J.D. Quigley, University of Notre Dame
No abstract available.

4110

Friday 12/1 4:10 PM

Rajesh Kulkarni, Mathematics, MSU

TBA
 TBA
 12/01/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Rajesh Kulkarni, Mathematics, MSU
No abstract available.

4101

Thursday 12/7 11:00 AM

Jake Fillman, Virginia Tech

TBA
 TBA
 12/07/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Jake Fillman, Virginia Tech
No abstract available.
