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

WIQI topology seminar

Posted in
Date: 
Fri, 21/02/2025 - 12:45 - 14:30
Location: 
MPIM Seminar Room
Parent event: 
WIQI topology seminar

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

Knotted families of arcs

Posted in
Speaker: 
Danica Kosanović
Affiliation: 
ETH Zürich
Date: 
Tue, 18/02/2025 - 11:00 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Informal topology seminar

I will outline a construction of multi-parameter families of arcs in 4-manifolds, and explain how some spectral sequence calculations can show their nontriviality.

Kobayashi-Hitchin correspondence for polarized fibrations

Posted in
Speaker: 
Finski Siarhei
Affiliation: 
Ecole Polytechnique, Palaiseau/MPIM
Date: 
Thu, 20/02/2025 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

A Hermitian metric on a holomorphic vector bundle is said to be Hermite-Einstein if its mean curvature is proportional to the identity operator. The Kobayashi-Hitchin correspondence (or the Donaldson-Uhlenbeck-Yau theorem) asserts that a holomorphic vector bundle admits a Hermite-Einstein metric if and only if it satisfies the algebraic condition of slope polystability.

On the Darmon program for the Generalized Fermat equation

Posted in
Speaker: 
Nuno Freitas
Affiliation: 
MPIM
Date: 
Thu, 13/02/2025 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

In 2000, Darmon described a remarkable program to study the Generalized
Fermat equation Ax^r + By^q = Cz^p using modularity of abelian varieties of
GL2-type over totally real fields. However, this program relies on various
hard conjectures, making it impractical, and until recently it has been
successfully applied only in cases where the abelian varieties were
elliptic curves. In this talk, we will first discuss the limitations of the
classical modular method and some of the main ideas and issues of the

tba

Posted in
Speaker: 
Rashi Lunia
Affiliation: 
MPIM
Date: 
Wed, 19/02/2025 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Generalized Fermat equations over totally real fields

Posted in
Speaker: 
Diana Mocanu
Affiliation: 
MPIM
Date: 
Wed, 12/02/2025 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Wiles’ famous proof of Fermat’s Last Theorem pioneered the so-called modular method, in which modularity of elliptic curves is used to show that all integer solutions of the Fermat’s equation are trivial.

WIQI topology seminar

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

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

tba (Geometric Langlands Seminar)

Posted in
Speaker: 
Arnaud Eteve
Affiliation: 
MPIM
Date: 
Tue, 25/02/2025 - 16:00 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
Geometric Langlands seminar

Zoom link:

https://eu02web.zoom-x.de/j/66594302263?pwd=6XqRNiAADoXfsLNrwCIji5UZgyh2jG.1

Meeting ID: 665 9430 2263
Passcode: 740104

 

Geometric Langlands Seminar

Posted in
Speaker: 
Dennis Gaitsgory
Affiliation: 
MPIM
Date: 
Tue, 18/02/2025 - 16:00 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
Geometric Langlands seminar

Zoom link:

https://eu02web.zoom-x.de/j/66594302263?pwd=6XqRNiAADoXfsLNrwCIji5UZgyh2jG.1

Meeting ID: 665 9430 2263
Passcode: 740104

 

Geometric Langlands Seminar

Posted in
Speaker: 
Dennis Gaitsgory
Affiliation: 
MPIM
Date: 
Tue, 11/02/2025 - 16:00 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
Geometric Langlands seminar

Zoom link:

https://eu02web.zoom-x.de/j/66594302263?pwd=6XqRNiAADoXfsLNrwCIji5UZgyh2jG.1

Meeting ID: 665 9430 2263
Passcode: 740104

 

Density functions for filtrations of homogeneous ideals

Posted in
Speaker: 
Hoang Le Truong
Affiliation: 
Vietnam Academy of Science and Technology
Date: 
Tue, 25/02/2025 - 14:00 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Algebra Seminar

A density function for an algebraic invariant is a measurable function on $\mathbb{R}$ that evaluates the invariant on a real scale. This approach encapsulates richer information about the invariant without requiring additional data. In this talk, we introduce and develop density functions $f_{I_n}$ corresponding to filtrations $\left\{I_n\right\}_{n \in \mathbb{N}}$ of graded ideals within a standard graded domain $A$. This is joint work with Suprajo Das and Sudeshna Roy.

Clasper surgery and configuration space integrals, part II

Posted in
Speaker: 
Shun Ming Samuel Lee
Affiliation: 
Universität Bonn/MPIM
Date: 
Tue, 11/02/2025 - 11:00 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Informal topology seminar

Clasper surgery and configuration space integrals, part I

Posted in
Speaker: 
Shun Ming Samuel Lee
Affiliation: 
Universität Bonn/MPIM
Date: 
Tue, 04/02/2025 - 11:00 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Informal topology seminar

Zeta values, random matrix theory and Euler-MacLaurin summation, II

Posted in
Speaker: 
Hartmut Monien
Affiliation: 
Universität Bonn
Date: 
Wed, 05/02/2025 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Let $\alpha$ be a real number greater than one and $\beta$ a positive real number. We prove that $\left(\zeta(\alpha + \beta n)\right)_{n\in\mathbb{N}}$ arise as moments of a positive definite Borel measure and construct the corresponding matrix theory. We determine its asymptotic behavior and show its relation to Euler-MacLaurin summation.

WIQI topology seminar

Posted in
Date: 
Fri, 07/02/2025 - 12:45 - 14:30
Location: 
MPIM Seminar Room
Parent event: 
WIQI topology seminar

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

Knutson's Conjecture on the Representation Ring

Posted in
Speaker: 
Diego Martin Duro
Affiliation: 
Warwick
Date: 
Wed, 19/02/2025 - 11:00 - 12:00
Location: 
MPIM Seminar Room
Parent event: 
Algebra Seminar

Donald Knutson’s Conjecture, later refined by Savitskii, stated that for every irreducible character of a finite group, there exists a virtual character such that their tensor product results in the regular character. The original conjecture was disproven by Savitskii, and we revisit the arguments and counterexamples provided.

Classification of Disconnected Reductive Algebraic Groups

Posted in
Speaker: 
Dylan Johnston
Affiliation: 
Warwick
Date: 
Wed, 12/02/2025 - 11:00 - 12:00
Location: 
MPIM Seminar Room
Parent event: 
Algebra Seminar

We say a disconnected algebraic group is reductive if its connected component is a reductive group in the usual sense. Even if one is only interested in connected reductive groups, disconnected ones enter the picture as subgroups, so gaining an understanding of them is a fruitful endeavour. In this talk, I will discuss the following question: Given a connected reductive algebraic group N and a finite group H, which algebraic groups G fit into the short exact sequence 1 --> N --> G --> H --> 1?

Categorical Künneth formulae

Posted in
Speaker: 
Jakob Scholbach
Affiliation: 
Universitá di Padova/MPIM
Date: 
Thu, 06/02/2025 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

In various geometric situations, given two geometric objects X and Y and their product X x Y, invariants of X x Y turn out to be closely related to the ones of X and of Y. For example, this is true for the fundamental group of topological spaces. Similarly, the Künneth formula describes the cohomology of X x Y in terms of the one of X and the one of Y. One level up, one may ask for a categorical Künneth formula, which concerns the question, of relevance in the Langlands program, whether one can decompose the entire category of sheaves on X x Y into pieces coming from X and Y.

Witten zeta function at negative integers

Posted in
Speaker: 
Kam Cheong Au
Affiliation: 
Universität zu Köln
Date: 
Wed, 05/03/2025 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Watanabe's diffeomorphism invariant, part 3

Posted in
Speaker: 
Xujia Chen
Affiliation: 
MPIM
Date: 
Tue, 28/01/2025 - 11:00 - 12:30
Location: 
MPIM Lecture Hall
Parent event: 
Informal topology seminar
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