WorkshopsTowards an arithmetic fundamental lemma
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Jacquet and Rallis proposed a relative trace formula approach to the Gross-Prasad conjecture for unitary groups. A key step in their approach is a fundamental-lemma-like orbital integral identity. This identity has been proved by the speaker.
Wei Zhang proposed an approach to the arithmetic Gross-Prasad conjecture and a key step is an arithmetic version of the Jacquet-Rallis fundamental lemma (conjecture). The conjecture relates a derivative form of an orbital integral for GLn to an intersection number in the unitary Rapoport-Zink space. The speaker is working on a function-field analog of this conjecture.
We will introduce the moduli spaces whose motives realize the relevant orbital integrals, and explain how the two sides of the arithmetic fundamental lemma show up naturally in this geometric context.
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Zhiwei Yun
2010-07-15
10:40:00 - 12:00:00
101 , Mathematics Research Center Building (ori. New Math. Bldg.)
Jacquet and Rallis proposed a relative trace formula approach to the Gross-Prasad conjecture for unitary groups. A key step in their approach is a fundamental-lemma-like orbital integral identity. This identity has been proved by the speaker.
Wei Zhang proposed an approach to the arithmetic Gross-Prasad conjecture and a key step is an arithmetic version of the Jacquet-Rallis fundamental lemma (conjecture). The conjecture relates a derivative form of an orbital integral for GLn to an intersection number in the unitary Rapoport-Zink space. The speaker is working on a function-field analog of this conjecture.
We will introduce the moduli spaces whose motives realize the relevant orbital integrals, and explain how the two sides of the arithmetic fundamental lemma show up naturally in this geometric context.