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SUMMARY:Shimura Varieties and Categorical Langlands [Lecture]
DTSTART:20261104T073000Z
DTEND:20261104T081500Z
DTSTAMP:20261031T035000Z
UID:indico-event-1707@math-events.uni-bonn.de
DESCRIPTION:Speakers: David Linus Hamann\n\nThe Langlands program predicts
  that the point counts of solutions to polynomial equations modulo a prime
  number p should be describable in terms of the Fourier analysis of certai
 n very symmetric functions. At the heart of this program lie certain alge
 braic "Shimura varieties"\, whose cohomology sees the two sides of this st
 riking correspondence. In this talk\, we will introduce some aspects of th
 e study of these varieties and their cohomology in the context of the Lang
 lands program\, and explain how\, using a p-adic analogue of Hodge theory\
 , they can be related to the study of moduli spaces of vector bundles on t
 he "Fargues-Fontaine curve". This connection allows the use of powerful to
 ols in the geometric Langlands program to be employed in the study of thes
 e objects. We will then conclude by illustrating some of the consequences 
 in this perspective\, discussing how certain objects in the geometric Lan
 glands program\; namely\, "geometric Eisenstein functors" can be used to 
 yield new consequences for the cohomology of these varieties.\n\nhttps://m
 ath-events.uni-bonn.de/event/1707/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1707/
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