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Talks and seminars, possibly part of a conference or series.

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

Posted in
Speaker: 
Yutaro Mikami
Zugehörigkeit: 
University of Tokyo
Datum: 
Fre, 23/05/2025 - 14:05 - 16:00
Location: 
MPIM Lecture Hall

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.

(ARGOS Seminar, Endenicher Allee 60) Localization of D-modules on partial flag varieties

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Speaker: 
Chenji Fu
Zugehörigkeit: 
MPIM/Universität Bonn
Datum: 
Mon, 12/05/2025 - 14:15 - 16:00

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

 

The duality map on symplectic moduli spaces of sheaves

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Speaker: 
Hsueh-Yung Lin
Zugehörigkeit: 
Taiwan
Datum: 
Don, 15/05/2025 - 10:15 - 12:00
Location: 
MPIM Seminar Room

Duality defines an involution on the moduli space of slope-stable bundles with trivial determinant on a projective surface X. It extends to a birational involution on the moduli space of Gieseker semistable sheaves. When X is a K3 surface of Picard rank one, we characterize when the duality map is biregular and non-trivial in terms of the Mukai vector. Further analysis of the quotient by this involution yields new (singular) irreducible holomorphic symplectic varieties, with simply connected smooth locus and second Betti number 24. (Joint work in progress with R. Yamagishi.)

(IMPRS seminar) Basics on D-modules

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Speaker: 
Jelena Ivancic
Zugehörigkeit: 
MPIM/Universität Bonn
Datum: 
Fre, 16/05/2025 - 10:35 - 12:05
Location: 
MPIM Seminar Room

IMPRS seminar on various topics: D-modules

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Organiser(s): 
C. Kaiser
Zugehörigkeit: 
MPIM
Datum: 
Fre, 16/05/2025 - 10:15 - 11:45

(Oberseminar Arithm. Geom. and Repres. Th.) A survey on Selmer schemes

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Speaker: 
Benjamin Moore
Zugehörigkeit: 
MPIM
Datum: 
Fre, 09/05/2025 - 14:05 - 16:00
Location: 
MPIM Lecture Hall

Uniform bounds for Artin's density (online)

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Speaker: 
Antonella Perucca
Zugehörigkeit: 
Université du Luxembourg
Datum: 
Fre, 09/05/2025 - 11:30 - 11:55
Location: 
MPIM Lecture Hall

Assuming GRH, with Järviniemi and Sgobba we have obtained very general results on Artin-type problems, and with Shparlinski we have discovered uniform bounds on Artin's density. We will address this and also the computational problem of determining a primitive root modulo p by
testing candidates.


 

WIQI topology seminar

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Datum: 
Don, 15/05/2025 - 12:45 - 14:30
Location: 
MPIM Seminar Room
Parent event: 
WIQI topology seminar

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

WIQI topology seminar

Posted in
Datum: 
Don, 08/05/2025 - 12:45 - 14:30
Location: 
MPIM Seminar Room
Parent event: 
WIQI topology seminar

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

(Vorlesung) Habiro Cohomology

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Speaker: 
Peter Scholze
Zugehörigkeit: 
MPIM
Datum: 
Fre, 09/05/2025 - 12:00 - 13:30
Location: 
MPIM Seminar Room

(IMPRS Seminar) The Hopf Invariant One Problem and the Adams Spectral Sequence

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Speaker: 
Qi Zhu
Zugehörigkeit: 
MPIM/Universität Bonn
Datum: 
Fre, 09/05/2025 - 10:15 - 11:45
Location: 
MPIM Seminar Room

Twisted Milnor torsion for finite group actions, part 2

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Speaker: 
Pedram Hekmati
Zugehörigkeit: 
University of Auckland
Datum: 
Mit, 30/04/2025 - 10:30 - 12:00
Location: 
MPIM Lecture Hall

The Milnor torsion is an invariant of unitary flat vector bundles on closed odd-dimensional manifolds. Its analytic counterpart was introduced by Ray and Singer and the equality of these torsions is the celebrated Cheeger-Müller theorem. In this talk, I will discuss how to extend the Milnor torsion to certain equivariant flat superconnections (or representations up to homotopy) for finite group actions and its relation to analytic torsion of the twisted de Rham complex.

WIQI topology seminar

Posted in
Datum: 
Fre, 02/05/2025 - 12:45 - 14:30
Location: 
MPIM Seminar Room
Parent event: 
WIQI topology seminar

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

(Number theory seminar) Generalized Fermat Equations

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Speaker: 
Imin Chen
Zugehörigkeit: 
Simon Fraser University
Datum: 
Mit, 14/05/2025 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

The proof of Fermat’s Last Theorem pioneered a new approach to resolving families of ternary Diophantine equations using modularity of residual Galois representations attached to Frey curves. In the case of differing exponents, Darmon gave a framework for resolving generalized Fermat equations in one varying exponent using Frey varieties. In this talk, I will survey the methods and techniques of recent progress on Darmon’s program as well as the challenges that remain in the study of generalized Fermat equations.

(LDT seminar) Kontsevich integrals and configuration spaces

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Speaker: 
Paolo Salvatore
Zugehörigkeit: 
Universita di Roma Tor Vergata/MPIM
Datum: 
Die, 06/05/2025 - 11:00 - 12:00
Location: 
MPIM Seminar Room

Arithmetic properties of generalised polynomials

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Speaker: 
Jakub Byszewski
Zugehörigkeit: 
Jagiellonian University, Krakow
Datum: 
Mit, 30/04/2025 - 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We study generalised polynomials, that is, functions that can be expressed using standard algebraic operations and the floor function. Generalised polynomials have long been studied (both explicitly and implicitly) in number theory and dynamics, often using dynamical and ergodic-theoretic methods (especially dynamics on nilmanifolds). These methods enable one to deduce precise information about the average behaviour of generalised polynomials, but allow for complicated behaviour on special sets of density zero.

The p-adic monodromy theorem

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Speaker: 
Juan Esteban Rodríguez Camargo
Zugehörigkeit: 
MPIM
Datum: 
Fre, 02/05/2025 - 14:05 - 16:00
Location: 
MPIM Lecture Hall

In this talk I will discuss a new proof of the p-adic monodromy theorem in p-adic Hodge theory using the theory of diamonds and Analytic Geometry à la Clausen and Scholze. This new perspective does not use explicitly  the classical theory of p-adic differential equations but the geometric aspects of Fargues-Fontaine curves and properties of the Fargues-Fontaine de Rham stack. If time permits I will mention the relation of this theory with Hyodo-Kato cohomology. 

(Seminar SAG) Gaussian maps for curves on Enriques surfaces

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Speaker: 
Dario Faro
Zugehörigkeit: 
Universitá di Pavia/MPIM
Datum: 
Don, 08/05/2025 - 10:30 - 12:00
Location: 
MPIM Seminar Room

Let C be a complex projective curve and let L and M be two line bundles on C.  One can associate with L and M  some natural maps, which are called Gaussian maps, between spaces of global sections of certain sheaves on C. These maps have been classically studied in connection with extendability questions of curves on surfaces. In this talk I will focus on the case of Enriques surfaces, presenting some natural questions that arise in this situation.

IMPRS minicourse: Sieving in algebra and geometry, IV

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Speaker: 
Efthymios Sofos
Zugehörigkeit: 
University of Glasgow/MPIM
Datum: 
Don, 15/05/2025 - 16:30 - 17:30
Location: 
MPIM Seminar Room

Lecture course: Sieving in algebra and geometry, III

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Speaker: 
Efthymios Sofos
Zugehörigkeit: 
University of Glasgow/MPIM
Datum: 
Mit, 14/05/2025 - 16:30 - 17:15
Location: 
MPIM Seminar Room
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