Upcoming Talks

Abstracts of upcoming talks at the MPIM. For an overview see also the calendar [2].

Oberseminar Arithmetic Geometry and Representation Theory [3]

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Talk [4]

Organiser(s):

Prof. Dr. J. Fintzen, Prof. Dr. T. Kaletha, Prof. Dr. P. Scholze

Date:

Fri, 11/10/2024 - 14:05 - Fri, 19/12/2025 - 16:00

Location:

MPIM Lecture Hall [5]

Details:

Program [6] and Abstracts [7] of Oberseminar Arithmetic Geometry and Representation Theory

https://people.mpim-bonn.mpg.de/scholze/veranstaltungen.html

Basics on D-modules [8]

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Talk [4]

Speaker:

Jelena Ivancic

Affiliation:

MPIM/Universität Bonn

Date:

Fri, 23/05/2025 - 10:15 - 11:45

Location:

MPIM Lecture Hall [5]

Parent event:

IMPRS seminar on various topics: D-modules [9]

Habiro Cohomology [10]

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Talk [4]

Speaker:

Peter Scholze

Affiliation:

MPIM

Date:

Fri, 23/05/2025 - 12:00 - 13:30

Location:

MPIM Lecture Hall [5]

Parent event:

Vorlesung Selected Topics in Algebraic Geometry: Habiro Cohomology [11]

WIQI topology seminar [12]

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Talk [4]

Date:

Fri, 23/05/2025 - 12:45 - 14:30

Location:

MPIM Seminar Room [13]

Parent event:

WIQI topology seminar [14]

Seminar webpage: https://guests.mpim-bonn.mpg.de/bianchi/wiqi.html

Cohomology of ($\phi$, $\Gamma$)-modules and duality [15]

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Talk [4]

Speaker:

Yutaro Mikami

Affiliation:

University of Tokyo

Date:

Fri, 23/05/2025 - 14:05 - 16:00

Location:

MPIM Lecture Hall [5]

Parent event:

Oberseminar Arithmetic Geometry and Representation Theory [3]

Cohomology of ($\phi$, $\Gamma$)-modules was studied by Herr, Liu, and Kedlaya-Pottharst-Xiao. Kedlaya-Pottharst-Xiao proved finiteness, duality, and Euler-characteristic formula for cohomology of families of ($\phi$, $\Gamma$)-modules.

Read more [15]

Higher differentials in the cohomology spectral sequence for long knots [16]

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Talk [4]

Speaker:

Paolo Salvatore

Affiliation:

Universita di Roma Tor Vergata/MPIM

Date:

Mon, 26/05/2025 - 14:00 - 15:00

Location:

MPIM Lecture Hall [5]

Parent event:

MPIM Topology Seminar [17]

There are two cohomology spectral sequences computing invariants of families of long knots in R^3, due respectively to Goodwillie-Sinha and Vassiliev, that conjecturally agree. Rationally it is known that they both collapse at the second page. Vassiliev conjectured that this is the case over all coefficients. In order to perform explicit computations we define a small multicomplex based on the Fox Neuwirth decomposition of configuration spaces, that produces higher differentials in the Goodwillie-Sinha spectral sequence.

Read more [16]

From D-modules on flag varieties to automorphic sheaves [18]

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Talk [4]

Speaker:

Dmitry Rudenko

Date:

Mon, 26/05/2025 - 14:15 - 16:00

Location:

Center for Mathematics Bonn [19]

Parent event:

ARGOS (Arithmetische Geometrie Oberseminar) [20]

LOCATION: Seminarraum 1.007, Endenicher Allee 60, Center for Mathematics, University of Bonn

Differentiation of higher groupoid objects in tangent categories [21]

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Talk [4]

Speaker:

Lory Aintablian

Affiliation:

MPIM

Date:

Mon, 26/05/2025 - 15:15 - 16:30

Location:

MPIM Lecture Hall [5]

Parent event:

Promotionskolloquium [22]

Contact for zoom link: lory@mpim-bonn.mpg.de

Any further committee discussions after 16:30 will take place in the seminar room.

Coefficients of modular forms modulo (powers of) primes [23]

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Talk [4]

Speaker:

Pengcheng Zhang

Affiliation:

MPIM

Date:

Mon, 26/05/2025 - 16:30 - 18:00

Location:

MPIM Lecture Hall [5]

Parent event:

PLeaSANT (Participative Learning Seminar on Any Number Theory) [24]

In this talk, we will try to discuss some properties of the coefficients of classical modular forms modulo primes or prime powers. The talk will be divided into two parts. The first part will be concerned with holomorphic modular forms, particularly weight 2 newforms, and discuss partly on a joint work with Tian Wang on their ordinary primes. The second part will be concerned with meromorphic modular forms (of level 1), and discuss some numerical congruences satisfied by their coefficients.

Approximation of perfectoid rings by Noetherian rings and prisms [25]

Posted in

Talk [4]

Speaker:

Ryo Ishizuka

Affiliation:

Institute of Science Tokyo

Date:

Tue, 27/05/2025 - 14:00 - 15:30

Location:

MPIM Seminar Room [13]

Parent event:

Algebra Seminar [26]

The theory of perfectoid towers, introduced by Ishiro-Nakazato-Shimomoto, provides an axiomatic approach to perfectoid theory in commutative algebra through tower-theoretic approximations. In contrast, Bhatt and Scholze introduced prisms as a "deperfection" of perfectoid rings. Our main result shows that a "gradual perfection" of a prism becomes a perfectoid tower. As a consequence, we prove that any p-torsion-free p-adically complete delta-ring that is reduced modulo p admits a perfectoid tower.

Read more [25]