# Upcoming Talks

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Abstracts of upcoming talks at the MPIM. For an overview see also the calendar.

## Recent developments in Quantum Topology -- Cancelled --

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We will review the basics of quantum topology such as the colored Jones polynomial of a knot, its standard conjectures relating to asymptotics, arithmeticity and modularity, as well as the recent quantum hyperbolic invariants of Kashaev et al, their state-integrals and their structural properties. The course is aimed to be accessible by graduate students and young researchers.

## Moduli stacks of curves

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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

## Introduction

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

## Models for homotopical higher categories, Part I

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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.

## Questions

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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 II

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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

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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.

## Introduction to $\infty$-operads, Part I

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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.

## Questions

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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.

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

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Speaker:
Alina Vdovina
Affiliation:
Newcastle University
Date:
Tue, 2020-08-18 14:00 - 15:00

To be useful in theoretical physics, mathematical structure

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