The "moduli space" for principally polarized complex n dimensional Abelian varieties with real structure (that is, anti-holomorphic involution) may be identified with a certain locally symmetric space for the group GL(n) over the real numbers. Is it possible to make sense of the points of this s

# Princeton University/IAS Number Theory Seminar

This seminar meets each Thursday at 4:30, with the venue alternating between Fine Hall at PU and Simonyi Hall at the IAS. The one-hour-long talks present current research progress in number theory and related fields.

For more information about this seminar, contact Rafael von Kanel, Ziyang Gao, or Yunqing Tang (IAS).

**Please click on seminar title for complete abstract.**

##### Real structures on ordinary Abelian varieties

IAS

##### TBA - Philipp Habegger

University of Basel

##### TBA - Mirror symmetry and another look at Kloosterman sums

Cornell University

##### Galois Representations for the general symplectic group

In a recent preprint with Sug Woo Shin (https://arxiv.org/abs/1609.04223) I construct Galois representations corresponding for cohomological cuspidal automorphic representations of general symplectic groups over totally

University of Amsterdam

##### TBA - Olivier Fouquet

Paris 11

##### TBA - Jared Weinstein

Boston University

##### TBA - Ananth Shankar

Harvard University