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

On the Homological Theory of Modules over Commutative Rings

Posted in
Speaker: 
Olgur Celikbas
Affiliation: 
West Virginia University, Morgantown/MPIM
Date: 
Thu, 10/04/2025 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

This talk will be a partial survey of topics in homological commutative local algebra. In particular, I will discuss results on depth, homological dimensions, and torsion properties of tensor products and powers, as well as characterizations of Gorenstein and regular rings via (co)homology vanishing. I will also mention related conjectures and open problems in this area.

Introductory talk to the online seminar "A study in derived algebraic geometry"

Posted in
Speaker: 
Dennis Gaitsgory
Organiser(s): 
Online seminar series organized at the University of Graz by Alexander Zahrer
Affiliation: 
MPIM
Date: 
Wed, 02/04/2025 - 15:00 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Extra talk
 
Introductory talk of the online seminar series "A study in derived algebraic geometry" organized 
at the University of Graz by Alexander Zahrer.
 
Thema: A study on DAG
Uhrzeit: 2.Apr. 2025 03:00 PM Amsterdam, Berlin, Rom, Stockholm, Wien
 
Zoom-Meeting beitreten
 
Meeting-ID: 617 2445 8866
Kenncode: 388214

 

Partial Frobeniuses via black magic

Posted in
Speaker: 
Dennis Gaitsgory
Affiliation: 
MPIM
Date: 
Tue, 01/04/2025 - 16:00 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Geometric Langlands seminar
An essential piece of structure on cohomologies of  shtukas is the action of partial Frobenius's  (equivarince with respect to geometric Frobenius 
endomorphisms along each copy of X in X^n). We will recall the usual construction, and then explain that it follows more or less automatically
from the formalism of categorical trace taken in the category , DGCat_{alg-geom} introduced by Beilinson and Drinfeld.
 

Zoom link: https://eu02web.zoom-x.de/j/66594302263?pwd=6XqRNiAADoXfsLNrwCIji5UZgyh2jG.1
Meeting ID: 665 9430 2263, Passcode: 740104

 

tba

Posted in
Speaker: 
Igor Shparlinski
Affiliation: 
University of New South Wales
Date: 
Fri, 09/05/2025 - 12:00 - 12:25
Location: 
MPIM Lecture Hall

Rational points in conic bundles

Posted in
Speaker: 
Efthymios Sofos
Affiliation: 
Glasgow University
Date: 
Fri, 09/05/2025 - 11:30 - 11:55
Location: 
MPIM Lecture Hall

Asymptotic counting methods will be used to study certain basic questions on the existence of rational points on surfaces. Joint work with Christopher Frei.

 

tba

Posted in
Speaker: 
Sumaia Saad Eddin
Affiliation: 
Austrian Academy of Science
Date: 
Fri, 09/05/2025 - 10:30 - 10:55
Location: 
MPIM Lecture Hall

tba

Posted in
Speaker: 
Lillian Pierce
Affiliation: 
Duke University
Date: 
Fri, 09/05/2025 - 10:00 - 10:25
Location: 
MPIM Lecture Hall

tba

Posted in
Speaker: 
Vandita Patel
Affiliation: 
University of Manchester
Date: 
Thu, 08/05/2025 - 15:30 - 15:55
Location: 
MPIM Lecture Hall

On a question of Douglass and Ono

Posted in
Speaker: 
Florian Luca
Affiliation: 
Stellenbosch University
Date: 
Thu, 08/05/2025 - 15:00 - 15:25
Location: 
MPIM Lecture Hall

It is known that the partition function $p(n)$ obeys Benford's law in any integer base $b\ge 2$. A similar result was obtained by Douglass and Ono for the plane partition function ${\text{\rm PL}}(n)$ in a recent paper. In their paper, Douglass and Ono asked for an explicit version of this result. In particular, given an integer base $b\ge 2$ and string $f$ of digits in base $b$ they asked for an explicit value $N(b,f)$ such that there exists $n\le N(b,f)$ with the property that ${\text{\rm PL}}(n)$ starts with the string $f$ when written in base $b$. In my talk, I will present an explicit value for $N(b,f)$ both for the partition function $p(n)$ as well as for the plane partition function ${\text{\rm PL}}(n)$.

 

tba

Posted in
Speaker: 
Jörg Brüdern
Affiliation: 
University of Göttingen
Date: 
Thu, 08/05/2025 - 14:30 - 14:55
Location: 
MPIM Lecture Hall

tba

Posted in
Speaker: 
Lola Thompson
Affiliation: 
Utrecht University
Date: 
Thu, 08/05/2025 - 11:30 - 12:30
Location: 
MPIM Lecture Hall

tba

Posted in
Speaker: 
Ofir Gorodetsky
Affiliation: 
Technion - Israel Institute of Technology
Date: 
Thu, 08/05/2025 - 10:00 - 11:00
Location: 
MPIM Lecture Hall

tba

Posted in
Speaker: 
Stephanie Chan
Affiliation: 
IST Austria
Date: 
Wed, 07/05/2025 - 12:30 - 12:55
Location: 
MPIM Lecture Hall

Pointwise bounds for 3-torsion

Posted in
Speaker: 
Peter Koymans
Affiliation: 
Utrecht University
Date: 
Wed, 07/05/2025 - 12:00 - 12:25
Location: 
MPIM Lecture Hall

For $\ell$ an odd prime number and $d$ a squarefree integer, a central question in arithmetic statistics is to give pointwise bounds for the size of the $\ell$-torsion of the class group of $\mathbb{Q}(\sqrt{d})$. This is in general a difficult problem, and unconditional pointwise bounds are only available for $\ell = 3$ due to work of Pierce, Helfgott—Venkatesh and Ellenberg—Venkatesh. The current record is $h_3(d) \ll_\epsilon d^{1/3 + \epsilon}$ due to Ellenberg—Venkatesh. We will discuss how to improve this to $h_3(d) \ll d^{0.32}$. This is joint work with Stephanie Chan.

 

 

tba

Posted in
Speaker: 
Carlo Pagano
Affiliation: 
Concordia University
Date: 
Wed, 07/05/2025 - 11:30 - 11:55
Location: 
MPIM Lecture Hall

tba

Posted in
Speaker: 
tba
Date: 
Wed, 07/05/2025 - 10:00 - 11:00
Location: 
MPIM Lecture Hall

Speed talks

Posted in
Date: 
Tue, 06/05/2025 - 16:30 - 17:00
Location: 
MPIM Lecture Hall

Speed talks

Posted in
Date: 
Tue, 06/05/2025 - 15:30 - 16:00
Location: 
MPIM Lecture Hall

tba

Posted in
Speaker: 
Francesco Pappalardi
Affiliation: 
Roma Tre University
Date: 
Tue, 06/05/2025 - 15:00 - 15:25
Location: 
MPIM Lecture Hall

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Posted in
Speaker: 
Damaris Schindler
Affiliation: 
University of Göttingen
Date: 
Tue, 06/05/2025 - 14:30 - 14:55
Location: 
MPIM Lecture Hall
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