Preprint Seminar Archives for Fall 2025 to Spring 2026
Finite presentation of the tame fundamental group by Hélène Esnault, Mark Shusterman, Vasudevan Srinivas
When: Mon, February 2, 2026 - 4:00pmWhere: Kirwan Hall 1308
Speaker: Bogdan Zavyalov (UMD) - https://bogdanzavyalov.com/
Abstract: I will explain why the étale fundamental group of a smooth projective variety is finitely presented, following the recent work in arXiv:2102.13424.
"Complex Bott Periodicity in algebraic geometry" by Hannah Larson and Ravi Vakil
When: Mon, February 16, 2026 - 4:00pmWhere: Kirwan Hall 1308
Speaker: Dori Bejleri (UMD) - https://math.umd.edu/~dbejleri/
Torsors on loop groups and the Hitchin fibration by Bouthier and Česnavičius
When: Mon, March 2, 2026 - 4:00pmWhere: Kirwan Hall 1308
Speaker: Wenzhuo Wang (UMD) -
K-theory of rings of continuous functions, by Ko Aoki, arXiv:2402.05257
When: Mon, March 9, 2026 - 4:00pmWhere: Kirwan Hall 1308
Speaker: Jonathan Rosenberg (UMD) - https://math.umd.edu/~jmr/
Abstract: When X is a compact Hausdorff space and C(X) is the ring of continuous complex-valued functions on X, K_0(C(X)) coincides with topological K-theory of X, K^0(X). However, for n different from 0, K_n(C(X)) Is not the same as topological K-theory. The exact relationship between the two has been a subject of study for 40 years.
I will explain a bit of the history and how this recent paper of Aoki largely settles the outstanding questions.
Periods detecting Eisenstein series and sum of L-values, by Weixiao Lu and Guodong Xi
When: Mon, April 6, 2026 - 4:00pmWhere: Kirwan Hall 1308
Speaker: Shenghao Li (UMD) -
Abstract: Relative Langlands duality, formulated by BZSV, predicts some duality properties between 'periods' and 'L-functions'. I will briefly introduce the formulation of global numerical problems, and give several examples, and how this work fits into the framework of BZSV.
https://arxiv.org/abs/2510.12446
Pseudocoherent and Perfect Complexes and Vector Bundles on Analytic Adic Spaces by Andreychev
When: Mon, April 20, 2026 - 4:00pmWhere: Kirwan Hall 1308
Speaker: Ziyi Huang (UMD) -
Abstract: https://arxiv.org/abs/2105.12591