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PRODID:Mathematics Seminar Calendar
BEGIN:VEVENT
UID:20180121T223941-8242@math.msu.edu
DTSTAMP:20180121T223941Z
SUMMARY:Elliptic curves and p-adic L-functions
DESCRIPTION:Speaker\: David Hansen, Columbia University\r\nI'll explain the notion of a p-adic L-function, try to \r\nmotivate why one might care about such a gadget, and give some history of their construction and applications. At the end of the talk I'll discuss a recent joint work with John Bergdall in which (among other things) we construct canonical p-adic L-functions associated with modular elliptic curves over totally real number fields.
LOCATION:C304 Wells Hall
DTSTART:20180108T211000Z
DTEND:20180108T220000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=8242
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BEGIN:VEVENT
UID:20180121T223941-8231@math.msu.edu
DTSTAMP:20180121T223941Z
SUMMARY:Uncertainty Quantification of Physics-constrained Problems – Data Assimilation and Parameter Estimation
DESCRIPTION:Speaker\: Yoonsang Lee, Lawrence Berkeley National Laboratory\r\nObservation data along with mathematical models play a crucial role in improving prediction skills in science and engineering. In this talk we focus on the recent development of uncertainty quantification methods, data assimilation and parameter estimation, for Physics-constrained problems that are often described by partial differential equations. We discuss the similarities shared by the two methods and their differences in mathematical and computational points of view and future research topics. As applications, numerical weather prediction for geophysical flows and parameter estimation of kinetic reaction rates in the hydrogen-oxygen combustion are provided.
LOCATION:C304 Wells Hall
DTSTART:20180109T211000Z
DTEND:20180109T220000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=8231
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BEGIN:VEVENT
UID:20180121T223941-8230@math.msu.edu
DTSTAMP:20180121T223941Z
SUMMARY:Quantifying congruences between Eisenstein series and cusp forms
DESCRIPTION:Speaker\: Preston Wake, UCLA\r\nConsider the following two problems in algebraic number theory:\r\n\r\n1. For which prime numbers p can we easily show that the Fermat equation x^p + y^p =z^p has no non-trivial integer solutions? \r\n\r\n\r\n2. Given an elliptic curve E over the rational numbers, what can be said about the group of rational points of finite order on E?\r\n\r\nThese seem like very different problems, but, surprisingly, they share a common theme: they are both related to the existence of congruences between two types of modular forms, Eisenstein series and cusp forms. We will explain these examples, and discuss a new technique for giving quantitative information about these congruences (for example, counting the number of cusp forms congruent to an Eisenstein series). We will explain how this can give finer arithmetic information than simply knowing the existence of a congruence. This is joint work with Carl Wang-Erickson.
LOCATION:C304 Wells Hall
DTSTART:20180110T211000Z
DTEND:20180110T220000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=8230
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BEGIN:VEVENT
UID:20180121T223941-8232@math.msu.edu
DTSTAMP:20180121T223941Z
SUMMARY:From Hilbert's Nullstellensatz to quotient categories
DESCRIPTION:Speaker\: John Calabrese, Rice University\r\nA common theme in algebraic geometry is the interplay between algebra and geometry. In this talk I will discuss a few "reconstruction theorems", in which the algebra determines the geometry.
LOCATION:C304 Wells Hall
DTSTART:20180112T211000Z
DTEND:20180112T220000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=8232
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BEGIN:VEVENT
UID:20180121T223941-9248@math.msu.edu
DTSTAMP:20180121T223941Z
SUMMARY:Sasaki-Einstein metrics and K-stability
DESCRIPTION:Speaker\: Tristan Collins, Harvard University\r\nI will discuss the connection between Sasaki-Einstein metrics and algebraic geometry in the guise of K-stability. In particular, I will give a differential geometric perspective on K-stability which arises from the Sasakian view point, and use K-stability to find infinitely many non-isometric Sasaki-Einstein metrics on the 5-sphere. This is joint work with G. Szekelyhidi.
LOCATION:C304 Wells Hall
DTSTART:20180117T211000Z
DTEND:20180117T220000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=9248
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