at the

American Institute of Mathematics, San Jose, California

organized by

Wee Teck Gan and Gordan Savin

Specific topics include

- Exceptional theta correspondence. The setting of theta correspondence was extended from the classical setting of metaplectic groups to the case of other groups, most notably the exceptional groups.
- Restriction of small representations of classical groups. Some recent work of Ginzburg and Ikeda uses small representations to construct examples of CAP representations.
- Small representations of covering groups. In a recent work of Bump-Friedberg-Ginzburg and Loke-Savin, small representations of covering groups of orthogonal groups are constructed and then exploited to produce examples of liftings
- Backward lifting. This is a method pioneered by Ginzburg-Rallis-Soudry to construct the backward lifting from $GL(n)$ to classical groups.
- Arithmetic applications. These include special values, non-vanishing and location of zeros of L-functions, applications to p-adic L-functions as well as period integrals and Gross-Prasad conjecture.

The workshop schedule.

A report on the workshop activities.

Papers arising from the workshop:

Global effects of DNA replication and DNA replication origin activity on eukaryotic gene expression

by L. Omberg, J. R. Meyerson, K. Kobayashi, L. S. Drury, J. F. X. Diffley, and O. Alter

Marcela Hanzer and Ivan MatiÄ‡

by Irreducibility of the unitary principal series of p-adic $\widetildeSp(n)$

Rank one reducibility for metapletic group via theta correspondence

by Marcela Hanzer and Goran Muic

Dichotomy for generic supercuspidal representations of $G_2$

by Gordan Savin and Martin H. Weissman