frg grant - higher categorical structures in algebraic geometry

PIs

Benjamin Antieau (Northwestern), Andrei Căldăraru (UW Madison), Max Lieblich (U Washington), Akhil Mathew (U Chicago), Martin Olsson (UC Berkeley)

Activities

Conference: Derived categories and mirror symmetry at UW Madison, 28 May to 1 June 2025.

Meeting: Berkeley, 19-21 March 2025.

Seminar: FRG Preprint Seminar, Fall 2023.

Meeting: Northwestern, 16-18 August 2023.

Conference: FRG workshop on Brauer groups and derived categories at Northwestern, 20-22 October 2023.

Meeting: University of Washington, 5-7 December 2022.

Publications

[1] B. Antieau, L. Meier, and V. Stojanoska, Picard sheaves, local Brauer groups, and topological modular forms, Journal of Topology 17 (2024), no. 2, e12333. [J. Top.]. [arXiv:2210].

[2] B. Antieau, Spherical Witt vectors and integral models for spaces, submitted, [arXiv:2308].

[3] B. Antieau, A. Krause, and T. Nikolaus, Prismatic cohomology relative to $\delta$-rings, submitted, [arXiv:2310].

[4] B. Antieau, A. Krause, and T. Nikolaus, On the K-theory of Z/p^n, submitted, [arXiv:2405].

[5] B. Antieau, Spectral sequences, décalage, and the Beilinson t-structure, submitted, [arXiv:2411].

[6] B. Antieau and N. Riggenbach, Cyclotomic synthetic spectra, [arXiv:2411].

[7] D. Bragg and M. Lieblich, Murphy’s law for algebraic stacks, [arXiv:2402].

[8] D. Bragg, M. Olsson, and R. Webb, Ample vector bundles and moduli of tame stacks, [arXiv:2407].

[9] A. Căldăraru and J. Tu, Effective categorical enumerative invariants, [arXiv:2404].

[10] A. Căldăraru, T. Pantev, E. Sharpe, B. Sung, and X. Yu, Noninvertible symmetries in the B model TFT, [arXiv:2504].

[11] S. Devadas and M. Lieblich, Higher-weight Jacobians, [arXiv:2408].

[12] J. de Jong and M. Olsson, Point objects on abelian varieties, [arXiv:2209].

[13] D. Krashen, M. Lieblich, and M. Shin, Brauertsch fields, [arXiv:2305].

[14] M. Olsson, Hochschild homology for log schemes, [arXiv:2406].

[15] M. Olsson and R. Webb, Curves with colliding points: logarithmic and stacky, [arXiv:2412].

[16] M. Olsson, Twisted derived categories and Rouquier functors, [arXiv:2501].