Seminars Sorted by Series

Shimura Varieties and Trace Formula Seminar

Oct
31
2008

Shimura Varieties and Trace Formula Seminar

Arithmetic Compactifications of PEL-Type Shimura Varieties
2:00pm|S-101

In this lecture, we will try to explain the essential ingredients in the construction of toroidal and minimal compactifications of smooth integral models of (general) PEL-type Shimura varieties, following the approaches of Faltings and Chai. Since...

Nov
03
2008

Shimura Varieties and Trace Formula Seminar

Arithmetic Compactifications of PEL-Type Shimura Varieties
3:30pm|S-101

In this lecture, we will try to explain the essential ingredients in the construction of toroidal and minimal compactifications of smooth integral models of (general) PEL-type Shimura varieties, following the approaches of Faltings and Chai. Since...

Nov
14
2008

Shimura Varieties and Trace Formula Seminar

A Global Analogue of Springer Representations
Z.-W. Yun
10:30am|S-101

I propose an analogue of Springer representations when the finite field in the classical version is replaced by a global function field. The Grothendieck-Springer alternation will be replaced by the so-called parabolic Hitchin fibration. I will...

Nov
14
2008

Shimura Varieties and Trace Formula Seminar

Twisted Relative Trace Formulae with a View Towards Unitary Groups I and II
2:00pm|S-101

We will introduce the twisted relative trace formula and prove a relative fundamental lemma in this setting using an analogue of Kottwitz's argument in the base change situation. Applications to the study of distinction on unitary groups will be...

Nov
21
2008

Shimura Varieties and Trace Formula Seminar

Twisted Relative Trace Formulae with a View Towards Unitary Groups I and II
10:30am|S-101

We will introduce the twisted relative trace formula and prove a relative fundamental lemma in this setting using an analogue of Kottwitz's argument in the base change situation. Applications to the study of distinction on unitary groups will be...

Nov
21
2008

Shimura Varieties and Trace Formula Seminar

Reduction Theory for p-Adic Moduli Spaces of Abelian Varieties and p-Divisible Groups
L. Fargues
2:00pm|S-101

I will first explain one can parametrize some particular cases of p-adic moduli spaces of p-divisible groups, Lubin-Tate spaces, by the geometric realization of Bruhat-Tits buildings. By a p-adic space I mean Berkovich analytic space. I will then...

Dec
05
2008

Shimura Varieties and Trace Formula Seminar

Formal Degrees and Adjoint Gamma Factors
10:30am|S-101

Harish-Chandra established the Plancherel formula for reductive groups over local fields, in which formal degrees and Plancherel measures are key ingredients. In this talk, we give a natural extension of Langlands' conjecture, which relates...

Dec
05
2008

Shimura Varieties and Trace Formula Seminar

On the Cohomology of Some Non-Compact Shimura Varieties III: Applications
2:00pm|S-101

In this talk, I will at long last give applications of the previous two technical talks. First I will give some direct (and imperfect) applications to representations of the unitary or symplectic groups themselves. Then I will present some...

Short Talks by Postdoctoral Members