Tuesday, Jul 23 3:00 pm - 4:00 pm
Title: Motives, periods, and functoriality.
Abstract: A fundamental aspect of the Langlands program is a dictionary between the geometric world of motives and the arithmetic/analytic world of automorphic representations. A famous conjecture of Deligne relates the special values of motivic L-functions to certain periods attached to the motive under consideration. Across this dictionary, Deligne's conjecture then predicts the nature of special values of automorphic L-functions. I will begin by reviewing the basics of this dictionary, and discuss some of my own recent results on special values of various automorphic L-functions (obtained in independent collaborations with Harder, Bhagwat, and Krishnamurthy). I will then describe results in an ongoing work with Deligne on certain period relations for motivic periods which provide a motivic explanation for these results on automorphic L-functions.
Wednesday, Aug 21 1:30 pm - 2:20 pm
Wednesday, Sep 4 1:30 pm - 2:20 pm
Wednesday, Sep 11 1:30 pm - 2:20 pm
Wednesday, Sep 25 1:30 pm - 2:20 pm
Monday, Sep 30 4:30 pm - 5:30 pm
Wednesday, Oct 2 1:30 pm - 2:20 pm
Monday, Oct 14 4:30 pm - 5:30 pm
Wednesday, Oct 16 1:30 pm - 2:20 pm
Monday, Oct 28 4:30 pm - 5:30 pm
Wednesday, Nov 6 1:30 pm - 2:20 pm