Talks this semester
We study the tame categorical local Langlands correspondence in the Fall of 2025.
X. Zhu, Tame categorical local Langlands correspondence, arXiv:2504.07482.
Date: September 22
Time: 2:30-4 pm
Venue: MCM 110
Title: Overview of the seminar
Speaker: Yihang Zhu (YMSC)
Date: September 29
Time: 2:30-4 pm
Venue: MCM 110
Title: Review of L-parameters and the moduli stack
Speaker: Koji Shimizu (YMSC)
Date: October 13
Time: 2:30-4 pm
Venue: MCM 110
Title: Irreducible components of the stack of L-parameters, structure of discrete parameters
Speaker: Fanyi Li (THU)
Date: October 20
Time: 2:30-4 pm
Venue: MCM 110
Title: The stacks of tame and unipotent parameters
Speaker: Xu Shen (MCM)
Date: October 27
Time: 2:30-4 pm
Venue: MCM 110
Title: The category of coherent sheaves
Speaker: Liang Xiao (PKU)
Date: November 3
Time: 2:30-4 pm
Venue: MCM 110
Title: Spectral affine Hecke categories, and spectral DL induction (I)
Speaker: Lin Chen (YMSC)
Date: November 10
Time: 2:30-4 pm
Venue: MCM 110
Title: Spectral DL induction (II)
Speaker:
Date: November 17
Time: 2:30-4 pm
Venue: MCM 110
Title: Categorical trace (I)
Speaker: Daxin Xu (MCM)
Date: November 24
Time: 2:30-4 pm
Venue: MCM 110
Title: Categorical trace (II)
Speaker: Penghui Li (YMSC)
Date: December 1
Time: 2:30-4 pm
Venue: MCM 110
Title: The stack of local G-shtukas
Speaker: Heng Du (YMSC)
Date: December 8
Time: 2:30-4 pm
Venue: MCM 110
Title: The stack of G-isocrystals
Speaker: Yichao Tian (MCM)
Date: December 15
Time: 2:30-4 pm
Venue: MCM 110
Title: Representations of locally profinite groups
Speaker:
Date: December 22
Time: 2:30-4 pm
Venue: MCM 110
Title: Theory of l-adic sheaves
Speaker:
Date: January 5
Time: 2:30-4 pm
Venue: MCM 110
Title: The local Langlands category
Speaker:
Past talks:
We studied the Lawrence-Venkatesh method in the Spring of 2025.
B. Lawrence and A. Venkatesh, Diophantine problems and p-adic period mappings, Invent. Math. 221 no.3 (2020), 893-999.
Date: February 24
Time: 2:30-4 pm
Venue: MCM 110
Title: Overview of the seminar
Speaker: Koji Shimizu (YMSC)
Date: March 3
Time: 2:30-4 pm
Venue: MCM 110
Title: Fibers with good reduction in a family
Speaker: Han Hu (PKU)
Date: March 17
Time: 2:30-4 pm
Venue: MCM 110
Title: The S-unit equation
Speaker: Koji Shimizu (YMSC)
Date: March 24
Time: 2:30-4 pm
Venue: MCM 110
Title: Outline of the argument for Mordell’s conjecture
Speaker: Khai-Hoan Nguyen-Dang (MCM)
Date: March 31
Time: 2:30-4 pm
Venue: MCM 110
Title: Rational points on the base of an abelian-by-finite family
Speaker: Koji Shimizu (YMSC)
Date: April 7
Time: 2:30-4 pm
Venue: MCM 110
Title: The Kodaira–Parshin family
Speaker: Yong Suk Moon (BIMSA)
Date: April 14
Time: 2:30-4 pm
Venue: MCM 110
Title: The monodromy of Kodaira–Parshin families
Speaker: Koji Shimizu (YMSC)
We studied alterations and semistable reduction in the Fall of 2024.
Date: September 9
Time: 2:30-4 pm
Venue: MCM 110
Title: Overview of the seminar
Speaker: Koji Shimizu (YMSC)
Date: September 23
Time: 2:30-4 pm
Venue: MCM 110
Title: Semistable curves and normal crossing divisors
Speaker: Shizhang Li (MCM)
Date: October 14
Time: 2:30-4 pm
Venue: MCM 110
Title: Alterations of varieties
Speaker: Weimufei Wu (PKU)
Date: October 21
Time: 2:30-4 pm
Venue: MCM 110
Title: Semistable alterations
Speaker: Ruiping Gong (AMSS)
Date: October 28
Time: 2:30-4 pm
Venue: MCM 110
Title: Semistable models for rigid-analytic spaces
Speaker: Yong Suk Moon (BIMSA)
Date: November 4
Time: 2:30-4 pm
Venue: MCM 110
Title: Toric varieties 1
Speaker: Qinru Zhong (AMSS)
Date: November 11
Time: 2:30-4 pm
Venue: MCM 110
Title: Toric varieties 2
Speaker: Shengyu Hou (AMSS)
Date: November 18
Time: 2:30-4 pm
Venue: MCM 110
Title: Toric varieties 3
Speaker: Ningjun Jiang (THU)
Date: November 25
Time: 2:30-4 pm
Venue: MCM 110
Title: Toroidal embeddings
Speaker: Shengkai Mao (AMSS)
Date: December 2
Time: 2:30-4 pm
Venue: MCM 110
Title: Semistable reduction theorem in characteristic 0
Speaker: Han Hu (PKU)
We studied rigid connections in the Spring of 2024.
The main goal of this seminar is to study various results around rigid connections: existence of a Frobenius structure on a rigid connection due to Esnault–Groechenig [EG23], application to Simpson's integral conjecture, and the Fourier transform algorithm for rigid connections on the projective line due to Katz and Arinkin [Ari10].
[Ari10] D. Arinkin, Rigid irregular connections on P1, Compos. Math. 146 (2010)
[EG23] H. Esnault and M. Groechenig, Cristallinity of rigid flat connections revisited, arXiv:2309.15949v2 (2023)
Date: May 27
Time: 2:30-4 pm
Venue: MCM 110
Title: Proof of main results
Speaker: Yong Suk Moon (BIMSA)
Date: May 20
Time: 2:30-4 pm
Venue: MCM 110
Title: Rigidity index and rank of the Fourier transform
Speaker: Yezheng Gao (MCM)
Date: May 13
Time: 2:30-4 pm
Venue: MCM 110
Title: Fourier transform preserves cohomological rigidity II
Speaker: Daxin Xu (MCM)
Date: May 6Time: 2:30-4 pm
Venue: MCM 110
Title: Fourier transform preserves cohomological rigidity
Speaker: Hongjie Yu (MCM)
Date: April 29
Time: 2:30-4 pm
Venue: MCM 110
Title: Review of Fourier transform and local Fourier transform
Speaker: Xiecheng Nie (MCM)
Date: April 22Time: 2:30-4 pm
Venue: MCM 410
Title: Review of formal connections on a punctured disc
Speaker: Yupeng Wang (PKU)
Date: April 15Time: 2:30-4 pm
Venue: MCM 110
Title: Applications to integrality and p-curvature conjectures
Speaker: Jiahong Yu (PKU)
Date: April 8
Time: 2:30-4 pm
Venue: MCM 110
Title: Integral Frobenius structure
Speaker: Zhaofeng Yu (Tsinghua)
Date: April 1
Time: 2:30-4 pm
Venue: MCM 110
Title: Rational F-isocrystal property
Speaker: Chenglong Ma (PKU)
Date: March 25Time: 2:30-4 pm
Venue: MCM 110
Title: Frobenius pullback functor for flat connections
Speaker: Koji Shimizu (YMSC)
Date: March 18
Time: 2:30-4 pm
Venue: MCM 110
Title: p-adic topology on W-points of schemes and stacks
Speaker: Junwei Wu (MCM)
Date: March 11
Time: 2:30-4 pm
Venue: MCM 110
Title: Higgs–de Rham flow
Speaker: Mao Sheng (YMSC)
Date: March 4
Time: 2:30-4 pm
Venue: MCM 110
Title: Overview of the p-adic geometry learning seminar
Speaker: Daxin Xu (MCM)
We studied the Drinfeld half-spaces in the Fall of 2023.
The main goal of this semester is to learn topics related to Drinfeld half-spaces: basic properties, the Drinfeld theorem, and the Čerednik–Drinfeld uniformization theorem for Drinfeld half-plane [BC91]; the cohomology of the Drinfeld half-spaces [SS91, Dat06].
[BC91] Boutot and Carayol, Uniformisation p-adique des courbes de Shimura: les théorèmes de Čerednik et de Drinfeld
[SS91] Schneider and Stuhler, The cohomology of p-adic symmetric spaces
[Dat06] Dat, Espaces symétriques de Drinfeld et correspondance de Langlands locale
Date: December 18
Time: 2:30-4 pm
Venue: MCM 110
Title: Cohomology complex and Galois representations
Speaker: Heng Du (YMSC)
Date: December 11
Time: 2:30-4 pm
Venue: MCM 110
Title: Cohomology with compact support of Drinfeld half-space
Speaker: Zhefan Duan (Tsinghua)
Date: December 4
Time: 2:30-4 pm
Venue: MCM 110
Title: Extensions of principal series representations
Speaker: Zicheng Qian (MCM)
Date: November 27
Time: 2:30-4 pm
Venue: MCM 110
Title: Cohomology of quotient varieties
Speaker: Yong Suk Moon (BIMSA)
Date: November 20
Time: 2:30-4 pm
Venue: MCM 110
Title: Explicit expressions for the cohomology of Drinfeld half-space
Speaker: Yongquan Hu (MCM)
Date: November 13
Time: 2:30-4 pm
Venue: MCM 110
Title: Cohomology of Drinfeld half-space and the Tits building
Speaker: Shuaishuai Duan (MCM)
Date: November 6
Time: 2:30-4 pm
Venue: MCM 110
Title: Drinfeld half-spaces
Speaker: Yi Zhu (Tsinghua)
Date: October 30
Time: 2:30-4 pm
Venue: MCM 110
Title: The Čerednik–Drinfeld uniformization theorem
Speaker: Yihang Zhu (YMSC)
Date: October 23
Time: 2:30-4 pm
Venue: MCM 110
Title: Drinfeld’s theorem: proof
Speaker: Yupeng Wang (PKU)
Date: October 16
Time: 2:30-4 pm
Venue: MCM 110
Title: Drinfeld’s theorem: statement and construction
Speaker: Tian Qiu (PKU)
Date: October 9
Time: 2:30-4 pm
Venue: MCM 110
Title: Special formal OD-modules over an algebraically closed field
Speaker: Jiahong Yu (PKU)
Date: September 25
Time: 2:30-4 pm
Venue: MCM 110
Title: Moduli interpretation and the Cartier theory
Speaker: Shanwen Wang (RUC)
Date: September 18
Time: 2:30-4 pm
Venue: MCM 110
Title: Overview of the p-adic geometry learning seminar
Speaker: Koji Shimizu (YMSC)
We studied the prismatic F-gauges in the Spring of 2023.
Date: May 29
Time: 2-3:30 pm
Venue: MCM 110
Title: Syntomic cohomology and Galois cohomology II
Speaker: Shanwen Wang (RUC)
Date: May 22
Time: 2-3:30 pm
Venue: MCM 110
Title: Syntomic cohomology and Galois cohomology I
Speaker: Koji Shimizu (YMSC)
Date: May 8
Time: 2-3:30 pm
Venue: MCM 110
Title: Syntomification
Speaker: Heng Du (YMSC)
Date: April 24
Time: 2-3:30 pm
Venue: MCM 110
Title: Filtered prismatization
Speaker: Jiahao Niu (AMSS)
Date: April 17
Time: 2-3:30 pm
Venue: MCM 110
Title: Prismatization
Speaker: Jiedong Jiang (BICMR)
Date: April 10
Time: 2-3:30 pm
Venue: MCM 110
Title: Syntomic cohomology in characteristic p
Speaker: Yong Suk Moon (BIMSA)
Date: April 3
Time: 2-3:30 pm
Venue: MCM 110
Title: Syntomification in characteristic p
Speaker: Yichao Tian (MCM)
Date: March 27
Time: 2-3:30 pm
Venue: MCM 110
Title: Gauges over k
Speaker: Daxin Xu (MCM)
Date: March 20
Time: 2-3:30 pm
Venue: MCM 110
Title: Prismatization over k
Speaker: Shanwen Wang (RUC)
Date: March 13
Time: 2-3:30 pm
Venue: MCM 110
Title: The conjugate filtration
Speaker: Shizhang Li (MCM)
Date: March 6
Time: 2-3:30 pm
Venue: MCM 110
Title: The de Rham cohomology of p-adic formal schemes
Speaker: Shizhang Li (MCM)
Date: February 27
Time: 2-3:30 pm
Venue: MCM 110
Title: The de Rham cohomology in characteristic 0
Speaker: Yupeng Wang (MCM)
Date: February 20
Time: 2-3:30 pm
Venue: MCM 110
Title: Filtrations and endomorphisms
Speaker: Koji Shimizu (YMSC)
We studied the Banach–Colmez spaces in the Fall of 2022.
Date: December 26
Time: 2-3:30 pm
Venue: Online (Zoom ID: 466 356 2952, Passcode: mcm1234)
Title: Semistable comparison theorem
Speaker: Yong Suk Moon (BIMSA)
Date: December 19
Time: 2-3:30 pm
Venue: Online (Zoom ID: 466 356 2952, Passcode: mcm1234)
Title: Syntomic cohomology and (phi, Gamma)-modules
Speaker: Shanwen Wang (Renmin University of China)
Date: December 12
Time: 2-3:30 pm
Venue: Online (Zoom ID: 466 356 2952, Passcode: mcm1234)
Title: Overview and local syntomic computations
Speaker: Koji Shimizu (YMSC)
Date: December 5
Time: 2-3:30 pm
Venue: Online (Zoom ID: 466 356 2952, Passcode: mcm1234)
Title: The category \mathscr{BC} in terms of the Fargues–Fontaine curve
Speaker: Heng Du (YMSC)
Date: November 28
Time: 2-3:30 pm
Venue: Online (Zoom ID: 466 356 2952, Passcode: mcm1234)
Title: Pro-etale cohomology of affine spaces
Speaker: Ruochuan Liu (Peking University)
Date: November 21
Time: 2-3:30 pm
Venue: Online
Title: Banach—Colmez spaces
Speaker: Jiedong Jiang (BICMR)
Date: November 14
Time: 2-3:30 pm
Venue: MCM 110
Title: Weakly admissibility implies admissibility
Speaker: Zekun Chen (BICMR)
Date: November 7
Time: 2-3:30 pm
Venue: MCM 110
Title: Fundamental exact sequence
Speaker: Yong Suk Moon (BIMSA)
Date: October 31
Time: 2-3:30 pm
Venue: MCM 110
Title: p-adic period rings
Speaker: Daxin Xu (MCM)
Special Lecture
Date: October 31
Time: 4:15-5:30 pm
Venue: Lecture Hall, Jin Chun Yuan West Bldg.
Title: Overview of the Emerton-Gee stack and beyond
Speaker: Yong Suk Moon (BIMSA)
Date: October 24
Time: 2-3:30 pm
Venue: MCM 110
Title: Finite-dimensional Banach Spaces
Speaker: Zhefan Duan (Tsinghua)
Date: October 17
Time: 2-3:30 pm
Venue: MCM 110
Title: Vector Spaces
Speaker: Yupeng Wang (MCM)
Date: October 10
Time: 2-3:30 pm
Venue: MCM 110
Title: A funny field \mathfrak{C}
Speaker: Qijun Yan (BICMR)
Date: September 26
Time: 2-3:30 pm
Venue: MCM 110
Title: Sympathetic closure
Speaker: Yongquan Hu (MCM)
Date: September 19
Time: 2-3:30 pm
Venue: MCM 110
Title: Sympathetic algebras
Speaker: Shizhang Li (MCM)
Date: September 5
Time: 3:30-5 pm
Venue: MCM 110
Title: Introduction and organization
Speaker: Koji Shimizu (YMSC)
