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Talk

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

Informal discussions, install party, etc

Posted in
Speaker: 
Vincent Delecroix
Zugehörigkeit: 
MPIM Bonn and Université de Bordeaux
Datum: 
Mit, 2019-07-24 17:00 - 18:00
Location: 
MPIM Tea Room

Some computations in algebraic geometry, dynamics and low dimensional topology

Posted in
Speaker: 
Vincent Delecroix
Zugehörigkeit: 
MPIM Bonn and Université de Bordeaux
Datum: 
Mit, 2019-07-24 15:30 - 16:00
Location: 
MPIM Lecture Hall

Interactive SageMath tutorials (bring your laptop!)

Posted in
Speaker: 
Vincent Delecroix
Zugehörigkeit: 
MPIM Bonn and Université de Bordeaux
Datum: 
Mit, 2019-07-24 13:45 - 15:15
Location: 
MPIM Lecture Hall

SageMath history and overview

Posted in
Speaker: 
Vincent Delecroix
Zugehörigkeit: 
MPIM Bonn and Université de Bordeaux
Datum: 
Mit, 2019-07-24 13:00 - 13:30
Location: 
MPIM Lecture Hall

Introduction to Gromov-Witten theory, 2

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Speaker: 
Campbell Wheeler
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2019-05-29 16:30 - 18:00
Location: 
MPIM Seminar Room

Modularity of Galois representations I

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Speaker: 
Christian Kaiser
Zugehörigkeit: 
MPIM
Datum: 
Mon, 2019-05-27 14:15 - 15:45
Location: 
MPIM Lecture Hall
Parent event: 
IMPRS Minicourse

tba

Posted in
Speaker: 
Jonas Schnitzer
Zugehörigkeit: 
University of Illinois, Urbana Champaign
Datum: 
Mit, 2019-06-26 10:30 - 12:00
Location: 
MPIM Lecture Hall

L-infinity algebras for deformations of Abelian categories and applications to geometry

Posted in
Speaker: 
Severin Barmeier
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2019-05-29 10:30 - 12:00
Location: 
MPIM Lecture Hall

W. Lowen and M. Van den Bergh defined a deformation theory for Abelian categories, such that deformations of the category of (quasi)coherent sheaves on an affine variety Spec A coincide with deformations of the algebra A, which are controlled by the Hochschild cochain complex equipped with the Gerstenhaber bracket.

tba

Posted in
Speaker: 
Alejandro Cabrera
Zugehörigkeit: 
Universidade Federal do Rio de Janeiro
Datum: 
Mit, 2019-07-24 10:30 - 12:00
Location: 
MPIM Lecture Hall

Inductive Method for Counting Number Fields

Posted in
Speaker: 
Jiuya Wang
Zugehörigkeit: 
Duke University
Datum: 
Don, 2019-06-06 10:30 - 11:30
Location: 
MPIM Lecture Hall

We propose a general framework to inductively prove new results for counting number fields. By using this method, we prove the precise asymptotic distribution of G -extensions for a family of Galois groups G  that could be constructed via taking towers of extensions. The key ingredient is a uniform estimate on the number of relative extensions with dependency on the base field. This is a joint work with Robert J.Lemke Oliver and Melanie Matchett Wood.

Counting extensions of function fields geometrically

Posted in
Speaker: 
Joseph Gunther
Zugehörigkeit: 
Université Paris-Sud (Paris 11/Orsay)
Datum: 
Fre, 2019-06-07 10:30 - 11:30
Location: 
MPIM Lecture Hall

We’ll discuss using algebro-geometric tools to count function fields, particularly of low degree. This includes joint work with Daniel Hast and Vlad Matei.

$2^k$-Selmer groups and Goldfeld's conjecture, II

Posted in
Speaker: 
Alexander Smith
Zugehörigkeit: 
Harvard University
Datum: 
Die, 2019-06-04 15:00 - 16:00
Location: 
MPIM Lecture Hall

Choose some positive $k$ and a rational elliptic curve $E$, and choose $k$ pairs of primes $(p_i, p'_i)$. Take $d_0$ to be $p_1 p_2 \dots p_k$, and consider the family of $d$ given by replacing $p_i$ with $p'_i$ for some set of $i$. Under special circumstances, we show that $2^k$-Selmer elements of a twist $E^{d_0}$ can be constructed from $2^k$-Selmer elements of the remaining twists $E^d$.

$2^k$-Selmer groups and Goldfeld's conjecture, III

Posted in
Speaker: 
Alexander Smith
Zugehörigkeit: 
Harvard University
Datum: 
Mit, 2019-06-05 09:00 - 10:00
Location: 
MPIM Lecture Hall

In this combinatorial talk, we will prove the partial information found in the second talk is enough to prove the claimed distribution for $2^k$-Selmer groups over grids. We will focus primarily on the case of $4$-Selmer groups.

 

$2^k$-Selmer groups and Goldfeld's conjecture, I

Posted in
Speaker: 
Alexander Smith
Zugehörigkeit: 
Harvard University
Datum: 
Die, 2019-06-04 09:00 - 10:00
Location: 
MPIM Lecture Hall

Take $E$ to be an elliptic curve over a number field whose four torsion obeys certain technical conditions. In this talk, we will outline a proof that $100\%$ of the quadratic twists of $E$ have rank at most one. To do this, we will find the distribution of $2^k$-Selmer ranks in this family for every $k > 1$. Using this framework, we will also find the distribution of the $2^k$-class ranks of the imaginary quadratic fields for all $k > 1$.

 

tba

Posted in
Speaker: 
Noriko Yui
Zugehörigkeit: 
Queen's University Kingston
Datum: 
Don, 2019-06-27 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Colloquium
Parent event: 
MPI-Oberseminar

Non-abelian Kummer maps for curves

Posted in
Speaker: 
Alexander Betts
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2019-05-29 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

The Q_l-pro-unipotent non-abelian Kummer map associated to a curve X is a certain function controlling the existence of Galois-invariant paths between points of X, and plays an important role in the non-abelian Chabauty method for finding rational points. In this talk, I will report on a project with Netan Dogra, in which we compute these maps explicitly when the base field is p-adic, obtaining a description of them in terms of harmonic analysis on the reduction graph of X. As a result, we are able to prove injectivity results for these maps.

 

Welcome

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Malle's Conjecture for octic $D_4$-fields

Posted in
Speaker: 
Ila Varma
Zugehörigkeit: 
UC San Diego
Datum: 
Mit, 2019-06-05 12:00 - 13:00
Location: 
MPIM Lecture Hall

We consider the family of normal octic fields with Galois group $D_4$, ordered by their discriminant.

The generator-relator models for class groups of number fields

Posted in
Speaker: 
Yuan Liu
Zugehörigkeit: 
University of Wisconsin-Madison
Datum: 
Don, 2019-06-06 12:00 - 12:30
Location: 
MPIM Lecture Hall

We will discuss a generator-relator random group model that provides probability measures agreeing with the Cohen-Lenstra heuristics and the Cohen-Martinet heuristics. We will also discuss the “good primes” in our random group model. This is a joint work with Melanie Matchett Wood.

Justifying Random Models of Nonabelian Class Groups

Posted in
Speaker: 
Mark Shusterman
Zugehörigkeit: 
University of Wisconsin-Madison
Datum: 
Die, 2019-06-04 12:00 - 12:30
Location: 
MPIM Lecture Hall

Recent works by Boston, Wood, and others suggest a balanced presentation random model for 'nonabelian class groups'.  We show that over function fields, these class groups (etale fundamental groups) are indeed balanced.

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