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Maria Yakerson, Universality of algebraic K-theory
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https://archive.mpim-bonn.mpg.de/id/eprint/5092/ Workshop on Dualisable Categories & Continuous K-theory. Abstract of workshop: Algebraic K-theory is an object that sits at the centre of large parts of algebra, geometry, and topology because of its universal role as a receptacle to count other mathematical objects with signs. However, since its invention, a phenomenon often called the Eilenberg swindle - which says that the algebraic K-theory of a category which is too large must necessarily be zero - has been accepted as a fundamental limit to the theory. Recently, Alexander Efimov introduced a construction called continuous K-theory which allows one to make sense of algebraic K-theory of certain large categories known as dualisable categories in a nontrivial way, thus surmounting the problem of the aforementioned Eilenberg swindle. These dualisable categories encompass geometrically interesting and previously inaccessible examples such as sheaves on locally compact Hausdorff spaces. This new direction in K-theory has seen many recent advancements such as the rigidity of non-commutative motives by Efimov and the polynomial functoriality of continuous K-theory by Akhil Mathew and collaborators. In light of these developments, this workshop aims to bring the community of mathematicians in algebra, topology, and geometry up to speed on the latest results and perspectives spawned by the theory of dualisable categories and continuous K-theory. The workshop will consist of two main lecture series by Alexander Efimov and Akhil Mathew, augmented by multiple exercise sessions, which we hope will allow for the participants to obtain a working knowledge on the subject. There will also be research talks as well as a session of short contributed talks by participants.
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Peter Scholze - Analytic Prismatization
Akhil Mathew, Introduction to dualisable categories and their K-theory, Part II
Algebraic K-Theory and P-Adic Arithmetic Geometry - Matthew Morrow
Mikhail Kapranov - Perverse Sheaves and Resurgence
Juan Esteban Rodriguez Camargo: Analytic prismatization over Z_p, I
Shachar Carmeli: The K-theory of non-split tori
Don Zagier - Modular Forms and Differential Equations
Minhyong Kim | Arithmetic topology and field theory 2
Yan Soibelman - Motivic Invariants of Moduli of Irregular Parabolic Higgs Bundle
Gal Porat: Locally analytic vectors in mixed characteristic
Linus Hamann: Finiteness Theorems for Geometric Eisenstein Series
Alexander Efimov, Dualizable categories and localizing motives, Part II
Motivic Cohomology of Mixed Characteristic Schemes - Tess Bouis
Essential Dimension via Prismatic Cohomology - Mark Kisin
proof of the geometric Langlands conjecture 2（Gaitsgory）
Juan Esteban Rodriguez Camargo: geometric sen theory II
Vanishing of Selmer Groups for Siegel Modular Forms - Sam Mundy
Eike Lau: Truncated Barsotti-Tate groups and truncated displays.
Alexander Efimov, Dualizable categories and localizing motives, Part IV
Brian Williams | Algebraic quantum field theory
Claude Sabbah - Vanishing Theorems for the Irregular Hodge Filtration
Stacks in p-adic Hodge Theory of Rigid Spaces - Arthur-Cesar Le Bras
Alexander Efimov, Dualizable categories and localizing motives, Part III
Alexander Efimov: Commutation of K-theory with certain inverse limits
Local and global conjectures on automorphic periods（Sug Woo Shin）
Pavel Etingof - Periodic pencils of flat connections and their $p$-curvature
Bogdan Zavyalov: The trace morphism and Poincare Duality in p-adic na geometry
Alexander Efimov, Dualizable categories and localizing motives, Part I
Tasos Moulinos (Paris): Betti realizations of noncommutative motives
Johan de Jong - Integrality of the Betti Moduli Space
Juan Esteban Rodriguez Camargo: Geometric Sen Theory
Yuri Tschinkel - Moduli Spaces of Points on the Projective Line
p-adic Hyperbolicity of Shimura Varieties - Xinwen Zhu
Spencer Bloch - Kummer Extensions, with Applications to Generalized ...(nekovar)
Ananth Shankar: Integral canonical models of Shimura varieties
Vasudevan- Finiteness Questions for Étale Coverings with Bdd Wild Ramification
Geometric Langlands Seminar: Dieudonne theory I: classical approach
Stacks and Log Prismatic Cohomology - Martin Olsson
Localizing motives, algebraic KK-theory and refined negative cyclic homology
Atiyah Duality and Applications - Toni Mikael Annala
