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PRODID:Mathematics Seminar Calendar
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UID:20190320T153535-17526@math.msu.edu
DTSTAMP:20190320T153535Z
SUMMARY:Total Positivity
DESCRIPTION:Speaker\: Nick Ovenhouse, MSU\r\nA matrix is "totally positive" if all of its minors are positive. We will discuss combinatorial models of total positivity using weighted graphs, as well as some criteria and characterizations for checking total positivity. If there is time, we will also discuss total positivity in the Grassmannian manifold, along with combinatorial models.
LOCATION:C517 Wells Hall
DTSTART:20190128T200000Z
DTEND:20190128T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=17526
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BEGIN:VEVENT
UID:20190320T153535-17540@math.msu.edu
DTSTAMP:20190320T153535Z
SUMMARY:Prime Torsion of the Brauer Group of an Elliptic Curve
DESCRIPTION:Speaker\: Charlotte Ure, MSU\r\nThe Brauer group is an invariant, that can detect arithmetic properties of the underlying variety. In this talk, I will define the Brauer group of a variety, describe it's connection to rational points, and give an algorithm to calculate generators and relations of the q-torsion of the Brauer group of and elliptic curve., where q is prime. This talk will be accessible to all.
LOCATION:C517 Wells Hall
DTSTART:20190218T200000Z
DTEND:20190218T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=17540
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BEGIN:VEVENT
UID:20190320T153535-17544@math.msu.edu
DTSTAMP:20190320T153535Z
SUMMARY:QSym and the Shuffle Compatibility of Permutation Statistics
DESCRIPTION:Speaker\: Duff Baker-Jarvis, MSU\r\nThe fundamental basis of the Hopf algebra of quasisymmetric functions can be thought of in terms of shuffling permutations, however we do not distinguish between permutations that have the same descent set. We can thus think of the algebra structure of QSym as having a basis indexed by equivalence classes of permutations. This descent set, Des, is a simple example of a permutation statistic that exhibits a property called being shuffle compatible. We will show that permutation statistics that are shuffle compatible give rise to “shuffle algebras” that are quotients of QSym and then discuss some bijective proofs that certain statistics are shuffle compatible.
LOCATION:C517 Wells Hall
DTSTART:20190225T200000Z
DTEND:20190225T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=17544
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BEGIN:VEVENT
UID:20190320T153535-17558@math.msu.edu
DTSTAMP:20190320T153535Z
SUMMARY:Local Class Field Theory is Easy! Part I: Introduction
DESCRIPTION:Speaker\: Suo-Jun Tan, MSU\r\nLocal class field theory is about classifying all abelian extensions over a base local\r\nfield (for instances Q_p , R, C). It turns out that this extrinsic data is completely determined by\r\nthe intrinsic properties of the base field. We will start by reviewing some basic number theory\r\nfacts. We will then discuss statements in local class field theory and see some interesting\r\nexamples. We assume a basic knowledge of commutative algebra, infinite Galois theory and\r\nnumber theory.
LOCATION:C517 Wells Hall
DTSTART:20190318T190000Z
DTEND:20190318T200000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=17558
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