Seminars Sorted by Series

The fundamental lemma of Langlands and Shelstad is a family of combinatorial identities between local orbital integrals. It is necessary to the stabilization of the elliptic part of the Arthur-Selberg trace formula. In order to stabilize the whole...

In this talk, I will explain how the method originally developed by Ihara, Langlands and Kottwitz to compute the cohomology of a Shimura variety (use the Grothendieck-Lefschetz fixed point formula in positive characteristic to calculate the trace on...

The fundamental lemma of Langlands and Shelstad is a family of combinatorial identities between local orbital integrals. It is necessary to the stabilization of the elliptic part of the Arthur-Selberg trace formula. In order to stabilize the whole...

In this talk, I will explain how the method originally developed by Ihara, Langlands and Kottwitz to compute the cohomology of a Shimura variety (use the Grothendieck-Lefschetz fixed point formula in positive characteristic to calculate the trace on...

We report a recent result, due to Clozel-Harris-Labesse, Morel and the speaker, on the previous work of Clozel, Kottwitz, Harris-Taylor and Taylor-Yoshida. There are two main features in our work. One feature, which is also crucial in the other...

We report a recent result, due to Clozel-Harris-Labesse, Morel and the speaker, on the previous work of Clozel, Kottwitz, Harris-Taylor and Taylor-Yoshida. There are two main features in our work. One feature, which is also crucial in the other...

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...

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...

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...

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...

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...

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...

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...

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...