Remi Reboulet
ZoomRemi Reboulet (Université Grenoble Alpes)
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Remi Reboulet (Université Grenoble Alpes)
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In this talk, I am going to explain the main results of my recent preprint (arXiv:2105.12591). The primary goal will be to prove that for every affinoid analytic adic space $X$, pseudocoherent complexes, perfect complexes, and finite projective modules over $\mathcal{O}_X(X)$ form a stack with respect to the analytic topology on $X$. The proof relies on the new approach to analytic geometry developed by Clausen and Scholze by means of condensed mathematics; therefore, I will also explain how to apply their formalism of condensed analytic rings to the study of adic geometry.
This semester’s topic in our joint research seminar is Hodge theory of matroids. The meetings take place on Zoom on a bi-weekly basis during lecture time, Thursdays 15-18.
Talk 1: Overview of the topic of the seminar. (Martin Ulirsch)
Talk 2: Matroid basics I – cryptomorphisms and examples (Ingmar Metzler)
We give an outline of a (conjectural) construction of cohomology groups for smooth and proper varieties over local fields with values in the derived category of locally compact groups satisfying … Continue reading Thomas Geisser (Rikkyo University Tokyo): Duality for motivic cohomology over local fields and applications to class field theory
We will meet on Tuesdays at 9:15 in SR 8 in the Mathematikon, Heidelberg. The seminar is planned to be in person, but it will also be possible to participate … Continue reading Plectic Stark-Heegner points (after Fornea-Gehrmann and Fornea-Guitart-Masdeu)
Tim Holzschuh
In classical algebra, the prime fields are Q and for every prime number p the finite field F_p. In higher algebra, one has for every prime number p an additional … Continue reading Georg Tamme (Universität Mainz): Purity in chromatically localized algebraic K-theory
Alexander Schmidt
Yujie Xu (Harvard University)
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The meetings take place on Zoom on a bi-weekly basis during lecture time, Thursdays 15-18.
Talk 3: Matroid basics II – exercise session (no speaker)
Talk 4: Matroid basics III – the lattice of flats (Arne Kuhrs)
The specialization morphism for the étale fundamental groups of Grothendieck cannot be generalized word-for-word to the more general pro-\'etale fundamental group of Bhatt and Scholze. It turns out, that one … Continue reading Dr. Marcin Lara: Specialization for the pro-étale fundamental group and fundamental groups in rigid geometry
Thomas Nikolaus (Münster
Segal's Burnside ring conjecture and a generalization for norms