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| 開催情報 | 水曜日 17:00～18:00 数理科学研究科棟(駒場) 117号室 |
|---|---|
| 担当者 | 今井 直毅，ケリー シェーン |
2018年01月17日(水)
18:00-19:00 数理科学研究科棟(駒場) 002号室
Ana Caraiani 氏 (Imperial College)
On the vanishing of cohomology for certain Shimura varieties (ENGLISH)
Ana Caraiani 氏 (Imperial College)
On the vanishing of cohomology for certain Shimura varieties (ENGLISH)
[ 講演概要 ]
I will prove that the compactly supported cohomology of certain unitary or symplectic Shimura varieties at level Gamma_1(p^\infty) vanishes above the middle degree. The key ingredients come from p-adic Hodge theory and studying the Bruhat decomposition on the Hodge-Tate flag variety. I will describe the steps in the proof using modular curves as a toy model. I will also mention an application to Galois representations for torsion classes in the cohomology of locally symmetric spaces for GL_n. This talk is based on joint work in preparation with D. Gulotta, C.Y. Hsu, C. Johansson, L. Mocz, E. Reineke, and S.C. Shih.
（本講演は「東京北京パリ数論幾何セミナー」として，インターネットによる
東大数理，Morningside Center of Mathematics と IHES の双方向同時中継で行います．
今回はパリからの中継です．）
I will prove that the compactly supported cohomology of certain unitary or symplectic Shimura varieties at level Gamma_1(p^\infty) vanishes above the middle degree. The key ingredients come from p-adic Hodge theory and studying the Bruhat decomposition on the Hodge-Tate flag variety. I will describe the steps in the proof using modular curves as a toy model. I will also mention an application to Galois representations for torsion classes in the cohomology of locally symmetric spaces for GL_n. This talk is based on joint work in preparation with D. Gulotta, C.Y. Hsu, C. Johansson, L. Mocz, E. Reineke, and S.C. Shih.
（本講演は「東京北京パリ数論幾何セミナー」として，インターネットによる
東大数理，Morningside Center of Mathematics と IHES の双方向同時中継で行います．
今回はパリからの中継です．）
