Fabio Bernasconi (University of Utah)

Log liftability for del Pezzo surfaces and applications to singularities in positive characteristic

Xuesen Na (University of Maryland)
Limiting configuration of SU(1,2) Higgs bundles

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.

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 a Pontryagin duality. For certain weights, we give an ad hoc construction which satisfies such a duality unconditionally. We then explain how this leads to … Continue reading Thomas Geisser (Rikkyo University Tokyo): Duality for motivic cohomology over local fields and applications to class field theory →

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 sequence of prime fields K(p,n), n a natural number, which in some sense interpolates between Q and F_p. Associated with these prime fields one has … Continue reading Georg Tamme (Universität Mainz): Purity in chromatically localized algebraic K-theory →

Yujie Xu (Harvard University)
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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 can deal with this problem by applying a rigid-geometric point of view: for a formal scheme X of finite type over a complete rank one valuation ring, … 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

Dr. Timo Keller (Universität Bayreuth)

Dr. Lennart Gehrmann (Universität Duisburg-Essen)

Prof. Dr. Johannes Sprang (Universität Duisburg-Essen)