Previous Special Year Seminar
Nilsequences in Additive Combinatorics
There has been quite a lot of recent work in additive
combinatorics seeking to develop our understanding of the 'higher
Fourier analysis' suggested by the work of Gowers on Szemeredi's
theorem and the work of various ergodic theorists (Host, Kra...
Duality in Maxwell Theory (continuation)
Whittaker Patterns in Global Unramified and Local Tamely Ramified Theories
I will discuss some aspects of the proof of (most of) the
unramified geometric Langlands duality conjecture for GL(n) by
Gaitsgory (based on his work with Frenkel, Vilonen etc), and also
the work in the direction of local tamely ramified duality.
Introduction to Chiral Algebras
Inverse Theorems and Random Matrices
It is an introduction to the topic. We would present several
inverse theorems in additive number theory (starting with
Freiman's) and some overview about their applications. Next, we
discuss the connection between some of these and problems...
Sum-Products Estimates and Applications
It is an introduction to the topic. We would present a proof of
the quantitative sum-product in F^p and the proof of the
exponential sum bound + an overview of what's around.
Electro-Magnetic Duality in Abelian Guage Theory
2:00pm|West Building Lecture Theatre
Whittaker Sheaves, Quantum Groups and Quantum Langlands Duality (after Gaitsgory and Lurie)
