Smoothness of the cohomology sheaves of stacks of shtukas
Cong Xue (Cambridge)
Abstract: Let $X$ be a smooth projective geometrically connected curve over a finite field $\mathbb{F}_q$. Let $G$ be a connected reductive group over the function field of $X$. For every finite set $I$ and every representation of $(\check{G})^I$, where $\check{G}$ is the Langlands dual group of $G$, we have a stack of shtukas over $X^I$. For every degree, we have a compact support l-adic cohomology sheaf over $X^I$.
In this talk, I will recall some properties of these sheaves. I will talk about a work in progress which proves that these sheaves are ind-smooth over $X^I$.
commutative algebraalgebraic geometrynumber theory
Audience: researchers in the topic
Recent Advances in Modern p-Adic Geometry (RAMpAGe)
Series comments: The Zoom Meeting ID is: 995 3670 1681. The password for the series is: *The first three-digit prime*. Please visit the external homepage for notes and videos from past talks.
Organizers: | David Hansen*, Arthur-César Le Bras*, Jared Weinstein* |
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