NTS/Abstracts/Fall2010

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Jordan Ellenberg, UW Madison

Title: Expander graphs, gonality, and Galois representations

Abstract: TBA



Shuichiro Takeda, Purdue

Title: On the regularized Siegel-Weil formula for the second terms and

non-vanishing of theta lifts from orthogonal groups

Abstract: In this talk, we will discuss (a certain form of) the Siegel-Weil formula for the second terms (the weak second term identity). If time permits, we will give an application of the Siegel-Weil formula to non-vanishing problems of theta lifts. (This is a joint with W. Gan.)


Xinyi Yuan

Title

Abstract.



Jared Weinstein, IAS

Title: Semistable reduction of modular curves

Abstract.



David Zywna, U Penn

Title

Abstract.


Soroosh Yazdani, UBC and SFU

Title

Abstract.


Zhiwei Yun, MIT

Title: From automorphic forms to Kloosterman sheaves (joint work with J.Heinloth and B-C.Ngo)

Abstract: Classical Kloosterman sheaves are rank n local systems on the punctured line (over a finite field) which incarnate Kloosterman sums in a geometric way. The arithmetic properties of the Kloosterman sums (such as estimate of absolute values and distribution of angles) can be deduced from geometric properties of these sheaves. In this talk, we will construct generalized Kloosterman local systems with an arbitrary reductive structure group using the geometric Langlands correspondence. They provide new examples of exponential sums with nice arithmetic properties. In particular, we will see exponential sums whose equidistribution laws are controlled by exceptional groups E_7,E_8,F_4 and G_2.



Samit Dasgupta, UC Santa Cruz

Title

Abstract.



Jay Pottharst, Boston University

Title: Iwasawa theory at nonordinary primes

Abstract.


Toby Gee, Northwestern

Title

Abstract.




Organizer contact information

David Brown:

Bryden Cais:



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