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

Ordered Basis for vector space groupoids

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Speaker: 
Alfonso Garmendia
Zugehörigkeit: 
MPIM/CRM Barcelona
Datum: 
Mon, 02/06/2025 - 14:40 - 14:55
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

On vector spaces with an inner product, complex structure or symplectic form, it is possible to find ordered basis that adapted to those structures. It was not clear which basis one should choose for a vector space with a groupoid structure. In my work with Francesco Cattafi we choose some class of ordered basis, we proved this class is again a  groupoid, the matrices changing two such ordered basis has also a groupoid structure and generalize it for vector bundle groupoids.

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Speaker: 
Ahmad Reza Haj Saeedi
Zugehörigkeit: 
MPIM/Northeastern
Datum: 
Mon, 02/06/2025 - 14:20 - 14:35
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

Higher structures of embeddings of varieties

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Speaker: 
Alexander Vitanov
Zugehörigkeit: 
MPIM/IHES
Datum: 
Mon, 02/06/2025 - 14:00 - 14:15
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

I explain a joint work in progress with Damien Calaque aimed at globalizing a local formality result by Calaque-Felder-Ferrario-Rossi, by means of which certain isomorphisms between Ext-algebras of embeddings of varieties can be derived from quasi-isomorphism of $A_\infty$-deformations.

E-symplectic and almost regular Poisson manifolds

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Speaker: 
Alfonso Garmendia
Zugehörigkeit: 
MPIM/CRM Barcelona
Datum: 
Don, 05/06/2025 - 11:45 - 12:45
Location: 
MPIM Seminar Room

When considering manifolds with boundary it is common to only consider vector fields tangent to the boundary. This set of vector fields is called the b-foliation and it coincides with sections of a vector bundle B. This choice of vector fields allows us to consider smooth sections on E*, which do not correspond to smooth forms but they give smooth functions when evaluated on elements of the b-foliation. A well studied class of singular symplectic manifolds are b-symplectic manifolds which are given by a symplectic B form, i.e. a non degenerate closed section on B*^B*.

Higher Coleman theory

Posted in
Speaker: 
Felix Zillinger
Zugehörigkeit: 
Universität Bochum
Datum: 
Mon, 02/06/2025 - 14:15 - 16:00

VENUE: Endenicher Allee 60, Room 1.007, University of Bonn

https://people.mpim-bonn.mpg.de/scholze/ARGOS/ARGOS_SS25.pdf

An Annoyingly Simple Open Problem on Lattice Counting

Posted in
Speaker: 
Marios Voskou
Zugehörigkeit: 
University College London/MPIM
Datum: 
Die, 03/06/2025 - 17:00 - 17:30
Location: 
MPIM Lecture Hall

In this talk, I will introduce an open problem and survey my failed attempts to solve it; as far as I know, it is new. The problem concerns Euclidean lattice counting, and its statement is rather elementary.

Arithmetic Applications of Hyperbolic Lattice Counting

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Speaker: 
Marios Voskou
Zugehörigkeit: 
University College London/MPIM
Datum: 
Die, 03/06/2025 - 16:30 - 17:00
Location: 
MPIM Lecture Hall

The classical Gauss circle problem concerns estimating the number of lattice points inside a Euclidean disc of radius $R$.  Equivalently, it asks for the average number of ways to write a positive integer $n<R^2$ as a sum of two squares.  In this talk, we discuss various analogous situations in the hyperbolic space.  Rather than focusing on the underlying geometric results themselves, we treat them as black boxes and concentrate on their arithmetic consequences.  These include results on the distribution of sums of squares, norms of ideals in quadratic fields, and mor

A Hyperelliptic Statistics on Moduli Spaces of vector bundles

Posted in
Speaker: 
Sampa Dey
Zugehörigkeit: 
ISI, Kolkata/MPIM
Datum: 
Die, 03/06/2025 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
In this talk, we will discuss the distribution of the $\mathbb{F}_{q}$-rational points on the various moduli spaces of vector bundles while taking a large family of hyperelliptic curves as the probability space with the uniform probability measure. This is based on joint work with Dr. Arijit Dey and Dr. Anirban Mukhopadhyay.\\

Reference: [1] Statistics of Moduli Space of Vector Bundles, Dey A., Dey S., and  A. Mukhopadhyay, Bull.Sci.Math, Vol 151 (2019), 13-33.\\

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Posted in
Datum: 
Mon, 11/08/2025 - 11:55 - 13:00
Location: 
MPIM Lecture Hall

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Datum: 
Mon, 11/08/2025 - 10:40 - 11:45
Location: 
MPIM Lecture Hall

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Datum: 
Mon, 11/08/2025 - 09:00 - 10:05
Location: 
MPIM Lecture Hall

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Datum: 
Fre, 25/07/2025 - 11:00 - 11:50
Location: 
MPIM Lecture Hall

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Datum: 
Fre, 25/07/2025 - 10:00 - 10:50
Location: 
MPIM Lecture Hall

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Datum: 
Don, 24/07/2025 - 16:30 - 17:20
Location: 
MPIM Lecture Hall

Tea break

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Datum: 
Don, 24/07/2025 - 16:00 - 16:30
Location: 
MPIM Tea Room

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Datum: 
Don, 24/07/2025 - 15:00 - 15:50
Location: 
MPIM Lecture Hall

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Datum: 
Don, 24/07/2025 - 14:00 - 14:50
Location: 
MPIM Lecture Hall

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Datum: 
Don, 24/07/2025 - 11:00 - 11:50
Location: 
MPIM Lecture Hall

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Datum: 
Don, 24/07/2025 - 10:00 - 10:50
Location: 
MPIM Lecture Hall

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Datum: 
Mit, 23/07/2025 - 11:00 - 11:50
Location: 
MPIM Lecture Hall
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