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Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik, Anurag K. Singh, Wenliang Zhang, Frobenius on the cohomology of thickenings , arxiv:2307.03745. Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik, Anurag K. Singh, Wenliang Zhang, Applications of perverse sheaves in commutative algebra , arxiv:2308.03155. Benjamin Antieau, Spherical Witt vectors and integral models for spaces , arxiv:2308.07288. Pierre Colmez, Sally Gilles, Wiesława Nizioł, Arithmetic duality for p-adic pro-étale cohomology of analytic curves , arxiv:2308.07712. George Boxer , Frank Calegari , Toby Gee , James Newton , Jack A. Thorne , The Ramanujan and Sato-Tate Conjectures for Bianchi modular forms , arXiv:2309.15880 George Boxer , Frank Calegari , Toby Gee , Cuspidal cohomology classes for GL_n(Z) , arXiv:2309.15944 Bhargav Bhatt, Crystals and Chern classes , arXiv:2310.00676. Benjamin Antieau, Achim Krause, Thomas Nikolaus, Prismatic cohomology relative to δ-rings , arxiv:2310.12770. Kestutis Cesnavicius , Roman Fedorov , Unramified Grothendieck-Serre for isotropic groups , arXiv:2311.08660 Pierre Colmez, Shanwen Wang, Fonctions d’une variable p-adique et représentations de GL2(Qp), arxiv: 2311.15457. Pierre Colmez, Prolongement analytique de fonctions ζ et de fonctions L, arxiv: 2311.15905 Veronika Ertl, Sally Gilles, Wiesława Nizioł, On the v-Picard group of Stein spaces , arxiv: 2312.14649. Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi, Karl Schwede, Kevin Tucker, Joe Waldron, Jakub Witaszek, Test ideals in mixed characteristic: a unified theory up to perturbation arXiv:2401.00615. Kestutis Cesnavicius , The affine Grassmannian as a presheaf quotient , arXiv:2401.04314 Pierre Colmez, Exercices adéliques , arxiv: 2403.16231. Benjamin Antieau, Achim Krause, Thomas Nikolaus, On the K-theory of Z/pn, arxiv: 2405.04329. Martin Olsson, Hochschild homology for log schemes , arxiv:2406.08629 Pierre Colmez , La méthode de Shintani et ses variantes , arXiv:2407.01269 Daniel Bragg, Martin Olsson, Rachel Webb, Ample vector bundles and moduli of tame stacks , arxiv:2407.01743 Pierre Colmez , Gabriel Dospinescu , Wiesława Nizioł , On the geometrization of the p-adic local Langlands correspondence , arXiv:2408.02358 Bhargav Bhatt , Linquan Ma , Zsolt Patakfalvi , Karl Schwede , Kevin Tucker , Joe Waldron , Jakub Witaszek , Perfectoid pure singularities , arXiv:2409.17965 Elden Elmanto and Noah Riggenbach, On the K-theory of the p-adic unit disk , arXiv:2410.07101. Bhargav Bhatt , Melvin Hochster , Linquan Ma , Lim Cohen-Macaulay sequences of modules , arXiv:2410.18372 Benjamin Antieau, Spectral sequences, décalage, and the Beilinson t-structure , arxiv:2411.09115. Pierre Colmez , Sally Gilles , Wiesława Nizioł , Duality for p-adic geometric pro-étale cohomology I: a Fargues-Fontaine avata r , arXiv:2411.12163 Benjamin Antieau, Noah Riggenbach, Cyclotomic synthetic spectra , arxiv:2411.19929. Martin Olsson and Rachel Webb, Curves with colliding points: logarithmic and stacky, arxiv: 2412.03408. Martin Olsson, Twisted derived categories and Rouquier functors , arxiv:2501.05599 Piotr Achinger , Sally Gilles , Wiesława Nizioł , Compactly supported p-adic pro-étale cohomology of analytic varieties, arXiv:2501.13651 Toni Annala, Piotr Pstragowski, A note on weight filtrations at the characteristic , arxiv:2502.19626 George Boxer , Frank Calegari , Toby Gee , Vincent Pilloni , Modularity theorems for abelian surfaces, arXiv:2502.20645
Bhargav Bhatt on Cohomology and Collaboration . Interview in Simons Foundation Four Minutes With series. Dustin Clausen, Efimov K-theory, Lecture 1 , Lecture 2 , Lecture 3 . IHES Summer School – Recent Advances in Algebraic K-Theory. Dustin Clausen, Master Class on Continuous K-theory, Rigid and Dualizable Categories, Lecture Series Peter Scholze, Emmy Noether lectures at the Institute for Advanced Study, Real local Langlands as geometric Langlands on the twistor , Lecture 1 , Lecture 2 , Lecture 3 . Dustin Clausen and Peter Scholze, Analytic stacks, Lecture Series. Ben Antieau, Binomial rings in stacks and topology, talk at the eCHT research seminar . Akhil Mathew, Dualizable categories and continuous K-theory. Lecture series given with Alexander Efimov at MPIM Bonn Dustin Clausen, Algebraic K-theory and Chromatic Homotopy Theory, Lecture Series, Lecture 1 , Lecture 2 , Lecture 3 , Lecture 4.