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Summary: UNIVERSITY OF CALIFORNIA, SANTA BARBARA
BERKELEY · DAVIS · IRVINE · LOS ANGELES · MERCED · RIVERSIDE · SAN DIEGO · SAN FRANCISCO
CSANTA BARBARA · SANTA CRUZ
UCSB Distinguished Lectures
in the Mathematical Sciences
The Geometric Langlands Conjecture
I. Arithmetic and Geometry, Abelian and Non Abelian
II. Algebra and Analysis, Classical and Quantum
Ron Donagi
University of Pennsylvania
Monday, May 12, 2008, 3:30 p.m., South Hall 6635
(Refreshments at 3:00 p.m. on Monday)
Tuesday, May 13, 2008, 3:30 p.m., South Hall 6635
Abstract for Lecture I: We will describe the Langlands program in general as a
conjectural non abelian analogue of well known "abelian" results: class field theory
on the arithmetic side, and the Abel-Jacobi theory of Riemann surfaces and their
Jacobians on the geometric side. One powerful approach to the geometric Langlands
conjectures involves abelianization via Hitchin's integrable system and its spectral
curves.
Abstract for Lecture II: Recent input from physics suggests that the geometric
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