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Ausführliche Liste aller demnächst stattfindenden Vorträge und Seminare. Für eine Übersicht konsultieren Sie bitte auch den Kalender.

Bonn Symplectic Seminar

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Organiser(s): 
Nate Bottman
Datum: 
Don, 26/09/2024 - 11:00 - Die, 01/04/2025 - 12:00
Location: 
MPIM Seminar Room
Details: 
Program and Abstracts of Bonn Symplectic Seminar

Integral points on determinant surfaces and its applications

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Speaker: 
Rashita Guria
Zugehörigkeit: 
MPIM
Datum: 
Mit, 16/10/2024 - 11:00 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We obtain an asymptotic formula with an error term for counting integer points $(a,b,c,d)$ in an
expanding box $[-X,X]^4$ that lie on the determinant surface $xy-zw=r$ for $r\ne 0$ and discuss
various applications of this counting.

 

Deformations of Calabi-Yau varieties in mixed characteristic

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Speaker: 
Lenny Taelman
Zugehörigkeit: 
Amsterdam
Datum: 
Don, 17/10/2024 - 10:30 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Seminar Algebraic Geometry (SAG)

A smooth projective variety X is said to be Calabi-Yau if its canonical bundle is trivial. I will discuss joint work with Lukas Brantner, in which we use derived algebraic geometry to study deformations of Calabi-Yau varieties in characteristic p.

Rigidity of automorphic Galois representations over CM fields

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Speaker: 
Lambert A'Campo
Zugehörigkeit: 
MPIM
Datum: 
Don, 17/10/2024 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

The Taylor-Wiles method is a way of relating Galois representations with the cohomology of locally symmetric spaces. I will give an overview of this method and its generalisation due to Calegari-Geraghty. Besides automorphy lifting theorems, one of its applications is the rigidity of certain Galois representations. I will explain what this means and give a sketch of the proof.

Vorlesung: The Habiro Ring of a Number Field

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Speaker: 
Peter Scholze
Zugehörigkeit: 
MPIM
Datum: 
Fre, 18/10/2024 - 10:15 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Vorlesung: Selected Topics in Algebra: The Habiro Ring of a Number Field

Introductory talk

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Speaker: 
Daniel Li-Huerta
Zugehörigkeit: 
MPIM
Datum: 
Fre, 18/10/2024 - 14:05 - 14:30
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Arithmetic Geometry and Representation Theory

Introductory talk

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Speaker: 
Kazuma Ohara
Zugehörigkeit: 
MPIM
Datum: 
Fre, 18/10/2024 - 14:30 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Arithmetic Geometry and Representation Theory

Introduction to Koszul duality

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Speaker: 
Yuqing Shi
Zugehörigkeit: 
MPIM
Datum: 
Die, 22/10/2024 - 14:00 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Seminar on Functor Calculi

Zeros of Poincaré series

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Speaker: 
Noam Kimmel
Zugehörigkeit: 
Tel-Aviv University
Datum: 
Mit, 23/10/2024 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We explore the zeros of certain Poincaréseries P(k,m) of weight k and index m for the full modular group. These are distinguished modular forms, which have played a key role in the analytic theory of modular forms. We study the zeros of P(k,m) when the weight k tends to infinity. The case where the index m is constant was considered by Rankin who showed that in this case almost all of the zeros lie on the unit arc |z|=1.

The integral Tate conjecture over finite fields and two coniveau filtrations

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Speaker: 
Fumiaki Suzuki
Zugehörigkeit: 
Universität Hannover
Datum: 
Don, 24/10/2024 - 10:30 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Seminar Algebraic Geometry (SAG)

We construct a new type of counterexamples to the integral Tate conjecture over finite fields, where a geometric cycle map is surjective but an arithmetic cycle map is not. We also discuss the relation of this problem with two coniveau filtrations, and show some positive results toward a conjecture of Colliot-Thélène and Kahn. This is joint work with Federico Scavia.

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