Colloquium
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Posted January 31, 2017

Last modified February 15, 2017

Barbara Rüdiger, Bergische Universität Wuppertal - Germany

The Enskog process and its relation to the Boltzmann equation

Abstract: The existence of a weak solution to a McKean-Vlasov type stochastic differential system corresponding to the Enskog equation of the kinetic theory of gases is established under suitable hypotheses. The distribution of any solution to the system at each fixed time is shown to be unique when the density exists. The existence of a probability density for the time-marginals of the velocity is verified in the case where the initial condition is Gaussian, and is shown to be the density of an invariant measure. This is a joint work with S. Albeverio and P. Sundar.

Algebra and Number Theory Seminar
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Posted January 15, 2017

Last modified January 27, 2017

Kenny De Commer, Vrije Universiteit Brussel

TBD

Algebra and Number Theory Seminar
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Posted January 11, 2017

Last modified January 23, 2017

Nicholas Cooney, Univ. Clermont-Ferrand

TBD

Informal Topology Seminar
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Posted February 3, 2017

10:30 am - 12:30 pm Lockett 233
Andrew Holmes, Louisiana State University

TBD

Algebra and Number Theory Seminar
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Posted January 15, 2017

Last modified January 23, 2017

Stefan Kolb, Newcastle University

TBD

Algebra and Number Theory Seminar
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Posted January 15, 2017

Last modified January 23, 2017

Peter Jorgensen, Newcastle University

TBD

Topology Seminar
Seminar website

Posted February 3, 2017

3:30 pm - 4:20 pm Lockett 233
Francesco Lin, Princeton University

TBD

Colloquium
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Posted October 25, 2016

3:30 pm - 4:20 pm TBA
Qing Xiang, University of Delaware

TBA

Algebra and Number Theory Seminar
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Posted January 15, 2017

Last modified January 23, 2017

Peter Jorgensen, Newcastle University

TBD

Pasquale Porcelli Lecture Series
Special Lecture Series

Posted December 12, 2016

Last modified February 3, 2017

Ken Ono, Emory University

Gems of Ramanujan and their Lasting Impact on Mathematics

Abstract: Ramanujan's work has has a truly transformative effect on modern mathematics, and continues to do so as we understand further lines from his letters and notebooks. In this lecture, some of the studies of Ramanujan that are most accessible to the general public will be presented and how Ramanujan's findings fundamentally changed modern mathematics, and also influenced the lecturer's work, will be discussed. The speaker is an Associate Producer of the film *The Man Who Knew Infinity* (starring Dev Patel and Jeremy Irons) about Ramanujan. He will share several clips from the film in the lecture.

Pasquale Porcelli Lecture Series
Special Lecture Series

Posted December 12, 2016

Last modified February 3, 2017

Ken Ono, Emory University

Cool Theorems Proved by Undergraduates

Abstract. The speaker has been organizing summer research programs for undergraduate students for many years. This lecture will give a sample of their accomplishments. The speaker will talk about partitioning integers, prime numbers, number fields, and generalizations of classical theorems of Euler, Gauss, and Jacobi.

Pasquale Porcelli Lecture Series
Special Lecture Series

Posted December 12, 2016

Last modified February 4, 2017

Ken Ono, Emory University

Can't you just feel the Moonshine?

Borcherds won the Fields medal in 1998 for his proof of the Monstrous Moonshine Conjecture. Loosely speaking, the conjecture asserts that the representation theory of the Monster, the largest sporadic finite simple group, is dictated by the Fourier expansions of a distinguished set of modular functions. This conjecture arose from astonishing coincidences noticed by finite group theorists and arithmetic geometers in the 1970s. Recently, mathematical physicists have revisited moonshine, and they discovered evidence of undiscovered moonshine which some believe will have applications to string theory and 3d quantum gravity. The speaker and his collaborators have been developing the mathematical facets of this theory, and have proved the conjectures which have been formulated. These results include a proof of the Umbral Moonshine Conjecture, and Moonshine for the first sporadic finite simple group which does not occur as a subgroup or subquotient of the Monster. The most recent Moonshine (announced here) yields unexpected applications to the arithmetic elliptic curves thanks to theorems related to the Birch and Swinnerton-Dyer Conjecture and the Main Conjectures of Iwasawa theory for modular forms. This is joint work with John Duncan, Michael Griffin and Michael Mertens.

Algebra and Number Theory Seminar
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Posted January 23, 2017

3:30 pm - 4:20 pm Lockett 277
Jie Zhou, Perimeter institute

TBD

Topology Seminar
Seminar website

Posted February 3, 2017

3:30 pm - 4:20 pm Lockett 233
Jose Ceniceros, Louisiana State University

TBD

Colloquium
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Posted February 23, 2017

3:30 pm - 4:20 pm Lockett 277
Earl Taft, Rutgers University and UC Berkeley

TBA