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

Moduli stacks of curves

Posted in
Speaker: 
Séverin Charbonnier
Affiliation: 
MPIM
Date: 
Mon, 2020-08-17 10:30 - 12:00

Using the machinery exposed in the previous talks, we will discuss the example of the moduli stacks of stable curves. We will show that it is an algebraic Deligne-Mumford stack and review some of its properties (irreducibility, properness). Last, we will briefly discuss the moduli of stable maps.

https://bbb.mpim-bonn.mpg.de/b/rei-xh2-kg6
For password email to rkramer@mpim...

Questions

Posted in
Speaker: 
Julie Bergner
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
University of Virginia
Date: 
Mon, 2020-08-17 17:45 - 18:15

In this mini-course, we'll review some of the common models for $(\infty,1)$-categories, then discuss the different ways that one can generalize them to obtain models for higher $(\infty,n)$-categories.

Questions

Posted in
Speaker: 
Clark Barwick
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
University of Edinburgh
Date: 
Thu, 2020-08-20 18:45 - 19:15

Stratified spaces and exodromy, Part II

Posted in
Speaker: 
Clark Barwick
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
University of Edinburgh
Date: 
Thu, 2020-08-20 17:30 - 18:45

Questions

Posted in
Speaker: 
Thomas Nikolaus
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
WWU Münster
Date: 
Thu, 2020-08-20 16:30 - 17:00

Higher Categories and Algebraic K-Theory, Part II

Posted in
Speaker: 
Thomas Nikolaus
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
WWU Münster
Date: 
Thu, 2020-08-20 15:15 - 16:30

Questions

Posted in
Speaker: 
Rune Haugseng
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
Norwegian University of Science and Technology
Date: 
Thu, 2020-08-20 11:30 - 12:00

I will attempt to give a friendly introduction to the theory of $\infty$-operads, a powerful framework for working with homotopy-coherent algebraic structures. In the first talk I will introduce Lurie’s model of $\infty$-operads,  and in the second I will survey some other models, including extensions to enriched $\infty$-operads.

Introduction to $\infty$-operads, Part II

Posted in
Speaker: 
Rune Haugseng
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
Norwegian University of Science and Technology
Date: 
Thu, 2020-08-20 10:15 - 11:30

I will attempt to give a friendly introduction to the theory of $\infty$-operads, a powerful framework for working with homotopy-coherent algebraic structures. In the first talk I will introduce Lurie’s model of $\infty$-operads,  and in the second I will survey some other models, including extensions to enriched $\infty$-operads.

Questions

Posted in
Speaker: 
Clark Barwick
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
University of Edinburgh
Date: 
Wed, 2020-08-19 18:45 - 19:15

Stratified spaces and exodromy, Part I

Posted in
Speaker: 
Clark Barwick
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
University of Edinburgh
Date: 
Wed, 2020-08-19 17:30 - 18:45

Questions

Posted in
Speaker: 
Thomas Nikolaus
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
WWU Münster
Date: 
Wed, 2020-08-19 16:30 - 17:00

Higher Categories and Algebraic K-Theory, Part I

Posted in
Speaker: 
Thomas Nikolaus
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
WWU Münster
Date: 
Wed, 2020-08-19 15:15 - 16:30

Questions

Posted in
Speaker: 
Rune Haugseng
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
Norwegian University of Science and Technology
Date: 
Tue, 2020-08-18 11:30 - 12:00

I will attempt to give a friendly introduction to the theory of $\infty$-operads, a powerful framework for working with homotopy-coherent algebraic structures. In the first talk I will introduce Lurie’s model of $\infty$-operads,  and in the second I will survey some other models, including extensions to enriched $\infty$-operads.

Introduction to $\infty$-operads, Part I

Posted in
Speaker: 
Rune Haugseng
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
Norwegian University of Science and Technology
Date: 
Tue, 2020-08-18 10:15 - 11:30

I will attempt to give a friendly introduction to the theory of $\infty$-operads, a powerful framework for working with homotopy-coherent algebraic structures. In the first talk I will introduce Lurie’s model of $\infty$-operads,  and in the second I will survey some other models, including extensions to enriched $\infty$-operads.

Models for homotopical higher categories, Part II

Posted in
Speaker: 
Julie Bergner
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
University of Virginia
Date: 
Mon, 2020-08-17 16:30 - 17:45

In this mini-course, we'll review some of the common models for $(\infty,1)$-categories, then discuss the different ways that one can generalize them to obtain models for higher $(\infty,n)$-categories.

Questions

Posted in
Speaker: 
Julie Bergner
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
University of Virginia
Date: 
Mon, 2020-08-17 15:30 - 16:00

In this mini-course, we'll review some of the common models for $(\infty,1)$-categories, then discuss the different ways that one can generalize them to obtain models for higher $(\infty,n)$-categories.

Models for homotopical higher categories, Part I

Posted in
Speaker: 
Julie Bergner
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
University of Virginia
Date: 
Mon, 2020-08-17 14:15 - 15:30

In this mini-course, we'll review some of the common models for $(\infty,1)$-categories, then discuss the different ways that one can generalize them to obtain models for higher $(\infty,n)$-categories.

Introduction

Posted in
Organiser(s): 
Hongyi Chu & Bruno Stonek
Affiliation: 
MPIM Bonn
Date: 
Mon, 2020-08-17 14:00 - 14:15

Finite descent and the Lawrence--Venkatesh method

Posted in
Speaker: 
Alexander Betts
Affiliation: 
King's College London/MPIM
Date: 
Wed, 2020-08-26 14:30 - 15:30
Parent event: 
Number theory lunch seminar

If Y is a curve of genus at least 2 over a number field, then the finite descent obstruction cuts out a subset of the adelic points, which is
conjecturally equal to the set of rational points. In particular, we expect this set to be finite. In this talk, I will present ongoing work with Jakob
Stix proving that certain projections of the finite descent locus are finite, as predicted by this conjecture. The method we employ can be
loosely described as "Lawrence--Venkatesh for Grothendieck's section set".

 

Algebraic spaces and Algebraic stacks

Posted in
Speaker: 
Praphulla Koushik
Affiliation: 
School of Mathematics, IISER Thiruvananthapuram, India
Date: 
Mon, 2020-08-10 10:30 - 12:00

In this talk, after recalling the notion of a stack over an arbitrary site, I will introduce the notions of an algebraic space, an algebraic stack and a Deligne-Mumford stack. I will then introduce some examples and properties of these "generalized schemes".

 

https://bbb.mpim-bonn.mpg.de/b/rei-xh2-kg6
For password email to rkramer@mpim...

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