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Thursday, September 21, 2017

Colloquium  Questions or comments?

Posted August 22, 2017
Last modified August 27, 2017

3:30 pm - 4:20 pm

Hongyu He, Department of Mathematics, LSU
Branching Laws and Interlacing Relation

Abstract: Let $H$ be a subgroup of a compact group $G$. Then any irreducible unitary representation of $G$, when restricted to $H$, decomposes into a direct sum of irreducible representations of $H$. A description of such a decomposition is often called a branching law. They are important in harmonic analysis, quantum mechanics and number theory. In this talk, I shall discuss the branching laws of the discrete series of the noncompact unitary groups and the recent progress towards the local Gan-Gross-Prasad conjectures. Discrete series representations were classified by Harish-Chandra in the sixties and played a fundamental role in Langland's program.

Thursday, September 28, 2017

Colloquium  Questions or comments?

Posted August 25, 2017
Last modified September 19, 2017

3:30 pm - 4:20 pm Lockett 277

John Etnyre, Georgia Institute of Technology
Curvature and contact topology

Abstract: Contact geometry is a beautiful subject that has important interactions with topology in dimension three. In this talk I will give a brief introduction to contact geometry and discuss its interactions with Riemannian geometry. In particular I will discuss a contact geometry analog of the famous sphere theorem and more generally indicate how the curvature of a Riemannian metric can influence properties of a contact structure adapted to it. This is joint work with Rafal Komendarczyk and Patrick Massot.

Thursday, November 16, 2017

Colloquium  Questions or comments?

Posted September 1, 2017
Last modified September 5, 2017

3:30 pm - 4:20 pm Lockett 277

Yifan Yang, National Taiwan University
TBD