Friday, 10.1.14, 10:15-11:15, Raum 404, Eckerstr. 1
Lie subalgebras of vector fields and the Jacobian conjecture
Friday, 24.1.14, 10:15-11:15, Raum 404, Eckerstr. 1
Higher Tannaka duality and realizations of mixed motives
Thursday, 30.1.14, 11:00-12:00, Raum 218, Eckerstr. 1
Tilting and Parity
Friday, 31.1.14, 10:15-11:15, Raum 404, Eckerstr. 1
In the representation theory of reductive groups in positive\ncharacteristic, there is a very special class of objects called tilting\nmodules. Two important theorems state that the class of tilting modules\nis closed under tensor product and restriction to Levi subgroups.\n\nSimilarly, on (generalized) flag varieties, there is a special class of\ngeometric objects called parity sheaves. I will explain two newer\ntheorems that are analogues of the tensor product and restriction\ntheorems mentioned above.\n\nThe main goal of the talk will be to explain how these two pictures fit\ntogether.\n\nThis is based on joint work with Daniel Juteau and Geordie Williamson.