Department of Mathematics - UC Santa Barbara

Geometry, Topology, and Physics Seminar, Winter 2009

Organizers: Andreas Malmendier and Dave Morrison.
Meets 4:00 - 5:30 p.m. Fridays in South Hall 6635.

This quarter, due to the KITP workshop Fundamental Aspects of Superstring Theory, this seminar will only meet occasionally. Watch this space (or the email announcements) for information about upcoming seminars.

Other Quarters: [ Spring, 2017; Wnter, 2017; Fall, 2016; Spring, 2016; Winter, 2016; Fall, 2015; Spring, 2015; Winter, 2014; Fall, 2013; Fall, 2012; Fall, 2011; Winter, 2011; Spring, 2010; Winter, 2010; Fall, 2009; Spring, 2009; Winter, 2009; Fall, 2008; Spring, 2008; Winter, 2008; Fall, 2007; Spring, 2007; Winter, 2007; Fall, 2006 ]

Jan 22/23

The Geometry, Topology, and Physics Seminar will meet at 3:30pm.

Edward Frenkel (UC Berkeley)

Langlands Program and Mirror Symmetry

This talk will be a part of the UCSB Distinguished Lectures on "Langlands Program and Mirror Symmetry" given by the speaker.

Thursday: Langlands Program and Mirror Symmetry, I
Abstract: The Langlands Program was launched in the 60s with the goal of relating Galois representations and automorphic forms. In recent years the geometric Langlands Program has been developed which points to a mysterious dualitiy between certain categories of sheaves on moduli spaces of (flat) bundles on algebraic curves. It turns out that this duality is closely related to the Mirror Symmetry of the Hitchin moduli spaces of Higgs bundles on algebraic curves associated to two dual Lie groups. I will explain this connection and talk about my recent work with Edward Witten in which we use it to gain insights into the phenomenon of "endoscopy" in the geometric Langlands Program.

Audio [ mp3, wma ]; Lecture notes.

Friday: Langlands Program and Mirror Symmetry, II

Audio [ mp3, wma ]; Lecture notes.