# NTS/Abstracts Spring 2011

## Anton Gershaschenko

Title: Moduli of Representations of Unipotent Groups |

Abstract: Representations of reductive groups are discretely parameterized, but unipotent groups can have non-trivial families of representations, so it makes sense try to construct and understand a moduli stack (or space) of representations of a given unipotent group. If you restrict to certain kinds of representations, it is possible to actually get your hands on the moduli stack and to construct a moduli space. I'll summarize the few things I know about the general case and then give you a tour of some interesting features that appear in small examples. |

## 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.) |

## Keerthi Madapusi

Title: A rationality property of Hodge cycles on abelian varieties, with an application to arithmetic compactiﬁcations of Shimura varieties |

Abstract: TBA |

## Organizer contact information

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