FRG Special Month in Ann Arbor

May 8 - June 2, 2023

This special month in Ann Arbor is organized under the NSF Focused Research Group grant "Algebraic Geometry and Singularities in Positive and Mixed Characteristic". During the first two weeks we will have some didactic activities, especially some lecture series on birational geometry and singularities in mixed characteristic (week 1) and on K-stability and K-moduli spaces (week 2). During the last two weeks we will have some research talks by the participants, but the emphasis will be on informal discussions and interactions. During the week-end of May 27 - 28, there will be a small workshop.

Organizers: Bhargav Bhatt, Mircea Mustaţă, and Karen Smith.

Visitors

Activities

Week 1 (May 8- May 12). All talks this week will be in 1449 Mason Hall (here is a campus map).

Date & Time Speaker Title
Mon May 8
10:00-11:00 Karl Schwede Global and local applications of perfectoid algebras in mixed characteristic I
11:30-12:30 Linquan Ma Perfectoid algebras and singularities in mixed characteristic I
Tu May 9
10:00-11:00 Linquan Ma Perfectoid algebras and singularities in mixed characteristic II
11:30-12:30 Karl Schwede Global and local applications of perfectoid algebras in mixed characteristic II
2:30-3:30 Kevin Tucker On F-pure Inversion of Adjunction
Wed May 10
10:00-11:00 Linquan Ma Perfectoid algebras and singularities in mixed characteristic III
11:30-12:30 Karl Schwede Global and local applications of perfectoid algebras in mixed characteristic III
2:30-3:30 Emelie Arvidsson Properties of log canonical singularities in positive characteristic
Thu May 11
10:00-11:00 Linquan Ma Perfectoid algebras and singularities in mixed characteristic IV
11:30-12:30 Karl Schwede Global and local applications of perfectoid algebras in mixed characteristic IV
2:30-3:30 Manuel Blickle F-finite schemes have a dualizing complex
Fri May 12
9:30-9:50 Austyn Simpson A counterexample to regular ascent for F-rationality
10:00-10:20 Alapan Mukhopadhyay Generators of derived categories in prime characteristics
10:30-10:50 Shiji Lyu Behavior of some invariants in characteristic p
11:00-11:20 Jia Zhi Jiang The derived ring of differential operators
11:30-11:50Gleb Terentiuk A stacky approach to nonabelian Hodge theory in positive characteristic

Week 2 (May 15 - May 19). All talks this week will be in 1449 Mason Hall (here is a campus map).

Date & Time Speaker Title
Mon May 15
10:00-11:00 Chenyang Xu K-stability of Fano varieties I
11:30-12:30 Kristin DeVleming K-moduli spaces of Fano varieties I
2:30-3:30 James McKernan The log canonical threshold revisited
4:00-5:00 Lu Qi Problem session 1 (K-stability)
Tu May 16
10:00-11:00 Kristin DeVleming K-moduli spaces of Fano varieties II
11:30-12:30 Chenyang Xu K-stability of Fano varieties II
2:30-3:30 Paolo Cascini Foliated flops over a complex threefold
4:00-5:00 Yueqiao Wu Problem session 2 (K-moduli spaces)
Wed May 17
10:00-11:00 Chenyang Xu K-stability of Fano varieties III
11:30-12:30 Kristin DeVleming K-moduli spaces of Fano varieties III
2:30-3:30 Lu Qi Problem session 3 (K-stablity)
Thu May 18
10:00-11:00 Kristin DeVleming K-moduli spaces of Fano varieties IV
11:30-12:30 Chenyang Xu K-stability of Fano varieties IV
2:30-3:30 Yueqiao Wu Problem session 4 (K-moduli spaces)
Fri May 19
10:00-10:20 Swaraj Pande The Global F-pure Threshold of Fano varieties
10:30-10:50 Sridhar Venkatesh Pushforward of log differentials on toric varieties
11:00-11:20 Lu Qi Convexity of multiplicities of filtrations on local rings
11:30-11:50 James Hotchkiss Brauer groups of complex tori and abelian varieties
2:00-2:20 Bradley Dirks Minimal exponents of LCI varieties
2:30-2:50 Qianyu Chen Minimal exponent and k-rational local complete intersection singularities
3:00-3:20 Devlin Mallory The failure of finite F-representation type for non-Fano varieties
3:30-3:50 Hyunsuk Kim L2 approach to Saito's vanishing theorem
4:00-4:20 David Stapleton The asymptotic degrees of irrationality of divisors and the minimal fibering degree

Week 3 (May 22 - May 26). All talks this week will be in 1544 NUB (North University Building). Here is a campus map.

Date & Time Speaker Title
Mon May 22
10:00-11:00 Dori Bejleri The cotangent complex for pairs
11:30-12:30 Tommaso de Fernex Geometry of arc spaces
3:30-4:30 Cake time Math Department atrium
Tu May 23
10:00-11:00 Ziquan Zhuang Boundedness of singularities and minimal log discrepancies of Kollár components
11:30-12:30 Jakub Witaszek Singularities in mixed characteristic via the Riemann-Hilbert correspondence
2:30-3:30 Harold Blum Moduli of Fano varieties with complement
Wed May 24
10:00-11:00 Mattias Jonsson Divisorial stability
11:30-12:30 Yusuke Nakamura Minimal log discrepancies of quotient singularities
2:30-3:30 Zsolt Patakfalvi Varieties with nef anti-canonical have surjective Albanese
Thu May 25
10:00-11:00 Joe Waldron The log minimal model program for excellent threefolds
11:30-12:30 Teppei Takamatsu Fedder-type criteria for quasi-F-splitting
2:30-3:30 Rankeya Datta Mittag-Leffler modules and Frobenius
Fri May 26
10:00-11:00 Kenta Sato General hyperplane section of log canonical threefolds in positive characteristic
11:30-12:30 Joaquin Moraga Fundamental groups of algebraic singularities

During the week-end of May 27-28, there will be a workshop. All talks in the workshop will be in 1360 EH (East Hall). Note that the East University building entrance will be closed over the whole Memorial Day week-end, but the Church Street entrance should be open. Here is a campus map.

Date & Time Speaker Title
Sat May 27
9:30-10:30 Kenny Ascher Moduli of low degree K3 surfaces
11:00-12:00 Yuchen Liu On K-moduli of quartic threefolds
1:30-2:30 Sándor Kovács KSB stability is automatic in codimension 3
3:00-4:00 Laure Flapan Kodaira dimension of moduli spaces of hyperkähler manifolds
4:00-5:00 Cake time Math Department Atrium
5:00-6:00 Shunsuke Takagi Behavior of multiplier ideals under pure morphisms
Sun May 28
9:30-10:30 Christopher Hacon Recent progress in the Kähler minimal model program
11:00-12:00 Junliang Shen Cohomology of the moduli of vector bundles and the moduli of Higgs bundles on a Riemann surface

Week 4 (May 29 - June 2). During this week there will be a few informal talks of a more speculative nature, devoted to introductions to open questions, stalled projects, etc. All talks during this week will be in 3866 EH (East Hall). Here is a campus map.

Date & Time Speaker Title
Mon May 29
2:00-3:00 Kenta Sato Toward the boundedness of Fano varieties in positive characteristic
3:30-4:30 Joaquin Moraga Dual complexes of Calabi-Yau pairs
Tu May 30
2:00-3:00 Ziquan Zhuang Stability of klt singularities and related questions
3:30-4:30 Dori Bejleri Hilbert schemes of points on singular curves
5:00-5:30 Shunsuke Takagi Multiplicity and F-pure thresholds
Thu June 1
11:00-12:00 Yusuke Nakamura Ehrhart theory on periodic graphs
2:00-3:00 Teppei Takamatsu On the quasi-F-splitting height of Calabi-Yau hypersurfaces