Conference on "Motives and Automorphic Forms" in Honour of Günter Harder's 85th Birthday

Levine, M. and Bergeron, Nicolas and Wildeshaus, Jörg (2023) Conference on "Motives and Automorphic Forms" in Honour of Günter Harder's 85th Birthday. In: Conference on "Motives and Automorphic Forms" in Honour of Günter Harder's 85th Birthday, 6 - 10 Mar 2023, MPIM Bonn.

	Video (Nicolas Bergeron: On Eisenstein's Jugendtraum for complex cubic fields) Bergeron_20230309.mp4 - Presentation Download (273MB)
Preview	Text (J. Wildeshaus: Short course "Shimura varieties and interior motives") notes-wildeshaus.pdf - Presentation Download (1MB) | Preview
Preview	Text (A. Raghuram: Short course "Eisenstein Cohomology and Special Values of L-functions") notes-raghuram.pdf - Presentation Download (25MB) | Preview
	Video (Mark Levine: Short course "Motivic Cohomology". Lecture 1: An introduction to higher Chow groups and triangulated categories of motives) Harder85_Levine_20230306-33.mp4 - Presentation Download (580MB)
	Video (Jörg Wildeshaus: Short course "Shimura varieties and interior motives". Lecture 1: Weight structures) Harder85_Wildeshaus_20230306_lecture1.mp4 - Presentation Download (942MB)
	Video (Jörg Wildeshaus: Lecture 2: Chow motives realising to interior cohomology of Shimura varieties) Harder85_Wildeshaus_20230307_lecture2.mp4 - Presentation Download (926MB)
	Video (Valentin Blomer: Joint equidistribution: arithmetic and L-functions) Harder85_20230310_blomer.mp4 - Presentation Download (611MB)
	Video (Jörg Wildeshaus: Lecture 3: Verifications and applications) Harder85_Wildeshaus_20230308_lecture3.mp4 - Presentation Download (888MB)
	Video (Peter Scholze: Cohomology of Shimura varieties via the Hodge-Tate period map) Harder85_20230310_scholze.mp4 - Presentation Download (632MB)

Abstract

Following a line of research culminating in the works of Weil, Eichler, Shimura and Taniyama, then further pushed by the emerging of the Langlands program, many deep and fruitful bridges between automorphic forms and algebraic geometry have been explored and led to spectacular results. During the fifty years span from the proof of Ramanujan’s conjecture on the discriminant modular form, using the validity of the Weil conjectures in algebraic geometry over finite fields, to the recent proof of the Sato-Tate conjectures for elliptic curves over CM fields, using automorphic machinery, it has been clearly established that the interaction between these two fields has amazing applications in both directions. Moreover, several guiding principles in this area have been inspired by the philosophy of motives, which has now developed into a mature theory providing not only heuristics, but concrete and sophisticated new tools to attack problems. The aim of the conference is to present the state of the art of the field by gathering leading experts at the crossroads of automorphic forms, arithmetic geometry and representation theory, and celebrating Günter Harder’s influence on these topics.

Item Type:	Conference or Workshop Item (Lecture)
Subjects:	0 General / foundations > 01-XX History and biography 1 Discrete mathematics / algebra > 11-XX Number theory
Divisions:	Research > Talks
Depositing User:	Axel Roenn
Date Deposited:	28 Apr 2023 10:26
Last Modified:	12 Jun 2023 11:15
URI:	https://archive.mpim-bonn.mpg.de/id/eprint/4899

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