Articles
- 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 avatar, 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
- Zeyu Liu, A stacky approach to prismatic crystals via q-prism charts, arXiv: 2504.07005
- Peter Scholze, Wild Betti sheaves, arXiv: 2505.24599
- Dustin Clausen, Duality and linearization for $p$-adic Lie groups, arXiv: 2506.18174.
- Jordan Levin, Guglielmo Nocera, Victor Saunier, A model for the assembly map of bordism-invariant functors, arXiv: 2506.05238.
- Toni Annala, Elden Elmanto, Motivic Steenrod operations at the characteristic via infinite ramification, arXiv:2506.05585
- Abhinandan, Alex Youcis, An integral comparison of crystalline and de Rham cohomology, arXiv:2507.17631
- Luca Marannino, Diagonal classes and anticyclotomic Iwasawa theory of modular forms at inert primes, arXiv:2507.22755
- Alexis Bouthier, Kestutis Cesnavicius, Federico Scavia, Generically trivial torsors under constant groups, arXiv:2505.00505
- Martin Olsson, Rachel Webb, Twisted stable maps with colliding points, arxiv:2508.08787
- Benjamin Antieau, Germán Stefanich, Report on $E_\infty $-descendability, arXiv:2508.13089
- Benjamin Antieau, The animation of the opposite of finite sets, arxiv:2508.13106
- Noah Olander, Martin Olsson, Gerbes for trigonalizable group schemes, arxiv:2508.21218.
- Guglielmo Nocera, Morena Porzio, Isotopy invariance and stratified $E_2$-action of the Ran Grassmannian, arXiv: 2509.06222
- Pierre Colmez, Une caractérisation de $\mathbb{B}_{\rm dR}^+$ et $\mathcal{O}\mathbb{B}_{\rm dR}^+$, arXiv:2509.12425.
- Viktor Burghardt, Noah Riggenbach, Lucy Yang, Involutive Brauer groups and Poincare rings, arXiv: 2509.25737
- Pierre Colmez, Wiesława Nizioł, Topological Vector Spaces, arXiv:2509.25981
- Toby Gee, Modularity theorems for abelian surfaces, arXiv:2510.02756
- Dhilan Lahoti, Deven Manam, Cohomology theories in the moduli of ring stacks, arXiv:2510.09582
- Johannes Anschütz, Guido Bosco, Arthur-César Le Bras, Juan Esteban Rodríguez Camargo, Peter Scholze, Analytic de Rham stacks of Fargues-Fontaine curves, arXiv:2510.15196
- Peter Scholze, Six-Functor Formalisms, arXiv:2510.26269.
- Benjamin Antieau, Filtrations and cohomology I: crystallization, arXiv:2511.01567.
- Pierre Colmez, Théorie locale du corps de classes et $(\varphi, \Gamma )$-modules Lubin-Tate, arXiv:2511.13986
- Pierre Colmez, Sally Gilles, Wiesława Nizioł, Une conjecture $C_{\rm st}$ pour la cohomologie à support compact, arXiv:2511.14675
- Benjamin Antieau, Filtrations and cohomology II: the Gauss-Manin connection, arXiv:2511.14731
Videos
- 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 $\mathbf{P}^1$, 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.
- Ben Antieau, Lecture 1, Lecture 2, Lecture 3, Lecture 4
- Akhil Mathew, Cartier Duality and Flatness for Ind-schemes, Lecture.
- Ben Antieau, Cyclotomic synthetic spectra, talk at the Abel Symposium.
Lectures related to the collaboration (but not necessarily by PIs):
- Chicago workshop on p-adic geometry
- Lecture series on Analytic Prismatization by Juan Esteban Rodriguez Camargo
- Lecture series on A p-adic six functor formalism in rigid geometry by Lucas Mann