Talk

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

Questions

Posted in
Speaker:
Julie Bergner
Organiser(s):
Hongyi Chu & Bruno Stonek
Zugehörigkeit:
University of Virginia
Datum:
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.  We'll primarily consider simplicial models, whose generalizations can be obtained using multi-simplicial diagrams, $\Theta_n$-diagrams, and hybrids thereof.   We'll also look at further variants via mixing and matching the discreteness and completeness conditions used to define Segal categories and complete Segal spaces, respectively, and which combinations actually lead to distinct models.

Questions

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

Stratified spaces and exodromy, Part II

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

Questions

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

Questions

Posted in
Speaker:
Rune Haugseng
Organiser(s):
Hongyi Chu & Bruno Stonek
Zugehörigkeit:
Norwegian University of Science and Technology
Datum:
Don, 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
Zugehörigkeit:
Norwegian University of Science and Technology
Datum:
Don, 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
Zugehörigkeit:
University of Edinburgh
Datum:
Mit, 2020-08-19 18:45 - 19:15

Stratified spaces and exodromy, Part I

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

Questions

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

Questions

Posted in
Speaker:
Rune Haugseng
Organiser(s):
Hongyi Chu & Bruno Stonek
Zugehörigkeit:
Norwegian University of Science and Technology
Datum:
Die, 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
Zugehörigkeit:
Norwegian University of Science and Technology
Datum:
Die, 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
Zugehörigkeit:
University of Virginia
Datum:
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.  We'll primarily consider simplicial models, whose generalizations can be obtained using multi-simplicial diagrams, $\Theta_n$-diagrams, and hybrids thereof.   We'll also look at further variants via mixing and matching the discreteness and completeness conditions used to define Segal categories and complete Segal spaces, respectively, and which combinations actually lead to distinct models.

Questions

Posted in
Speaker:
Julie Bergner
Organiser(s):
Hongyi Chu & Bruno Stonek
Zugehörigkeit:
University of Virginia
Datum:
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.  We'll primarily consider simplicial models, whose generalizations can be obtained using multi-simplicial diagrams, $\Theta_n$-diagrams, and hybrids thereof.   We'll also look at further variants via mixing and matching the discreteness and completeness conditions used to define Segal categories and complete Segal spaces, respectively, and which combinations actually lead to distinct models.

Models for homotopical higher categories, Part I

Posted in
Speaker:
Julie Bergner
Organiser(s):
Hongyi Chu & Bruno Stonek
Zugehörigkeit:
University of Virginia
Datum:
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.  We'll primarily consider simplicial models, whose generalizations can be obtained using multi-simplicial diagrams, $\Theta_n$-diagrams, and hybrids thereof.   We'll also look at further variants via mixing and matching the discreteness and completeness conditions used to define Segal categories and complete Segal spaces, respectively, and which combinations actually lead to distinct models.

Introduction

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

Finite descent and the Lawrence--Venkatesh method

Posted in
Speaker:
Alexander Betts
Zugehörigkeit:
King's College London/MPIM
Datum:
Mit, 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".

Zoom Online Meeting ID: 919 6497 4060
For password see the email or contact Pieter Moree (moree@mpim...).

Algebraic spaces and Algebraic stacks

Posted in
Speaker:
Praphulla Koushik
Zugehörigkeit:
School of Mathematics, IISER Thiruvananthapuram, India
Datum:
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

Online: Buildings, quaternions and Drinfeld-Manin solutions of Yang-Baxter equations

Posted in
Speaker:
Alina Vdovina
Zugehörigkeit:
Newcastle University
Datum:
Die, 2020-08-18 14:00 - 15:00

To be useful in theoretical physics, mathematical structure has to be sufficiently rich and cover several fields of mathematics, physics and, potentially, computer science. One of the barriers to overcome is different languages and different terminologies. We will give a brief introduction to the theory of buildings and present their geometric, algebraic and arithmetic aspects. In particular, we present explicit constructions of infinite families of quaternionic cube complexes, covered by buildings. We will use these cube complexes to describe new infinite families of Drinfeld-Manin solutions of Yang-Baxter equations.

https://bbb.mpim-bonn.mpg.de/b/gae-a7y-hhd

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