## Upcoming conferences & activities

## Workshop on 4-manifolds, September 16 - 20, 2019

**Workshop on 4-manifolds, September 16 - 20, 2019**

#### Organizers

Jeffrey Meier (University of Georgia)

Arunima Ray (MPIM Bonn)

#### Confirmed Speakers:

Robert Gompf (UT Austin)

Sergei Gukov (Caltech)

András Juhász (Oxford)

Du Pei (Caltech)

Lisa Piccirillo (UT Austin)

Juanita Pinzón-Caicedo (North Carolina State University/MPIM Bonn)

Mark Powell (Durham)

Rob Schneiderman (CUNY)

Hannah Schwartz (Bryn Mawr/MPIM Bonn)

Laura Starkston (UC Davis)

András Stipsicz (Alfred Renyi)

Alex Zupan (University of Nebraska Lincoln)

## Upcoming Talks

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

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

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.

## "What is...?" seminar

## Homotopy versus Isotopy: Spheres with Duals in 4-Manifolds, I

This will be an experimental “Jazz session” where both of us will be explaining our recent results together. We’ll also be encouraging audience participation and are aiming not only at 4-manifolds experts.

## Homotopy versus Isotopy: Spheres with Duals in 4-Manifolds, II

This will be an experimental “Jazz session” where both of us will be explaining our recent results together. We’ll also be encouraging audience participation and are aiming not only at 4-manifolds experts.

## Harmonic analysis on GLn over finite fields

There are many formulas that express interesting properties of a finite group G in terms of sums over its characters. For evaluating or estimating these sums, one of the most salient quantities to understand is the ** character ratio**:

## Algebraic geometry of the Lagrangian correspondence of Gaiotto

## On a mean value result for a product of L-functions

The asymptotic behaviour of moments of L-functions is of special interest to number theorists and there

are conjectures that predict the shape of the moments for families of L-functions of a given symmetry type.

However, only some results for the first few moments are known. In this talk we will consider the asymptotic

behaviour of the first moment of the product of a Hecke L-function and a symmetric square L-function

in the weight aspect. This is joint work with O. Balkanova, G. Bhowmik, D. Frolenkov.

## Persistent homology (from a mathematical point of view)

The goal of the talk is to present the basics of persistent homology which is one of the primary tools in applied algebraic topology and topological data analysis.

We hope to explain the mathematical ideas behind it, some of its current challenges and relations to sheaf theory.

## Rationality of Fano 3-folds over nonclosed fields

The rationality problem for smooth Fano threefolds over algebraically closed fields is basically solved.

In this talk I will discuss rationality of forms of these Fanos over nonclosed fields of characteristic 0.

I will concentrate on the case where the Picard number equals 1.

The talk is based on joint work with Alexander Kuznetsov (in progress).

## tba

## Mathematical events in Bonn

##### Bonn Mathematics Calendar

All mathematical events in Bonn are listed in the Bonn Mathematics Calendar. For directions see the map.

##### University Calendar

All lectures and courses at Bonn University can be found in the university calendar.

## Recurring seminars, series and courses

Detailed list of recurring seminars, series of talks, and courses or lectures comprising multiple talks. For an overview see also the calendar.

## Friedrich Hirzebruch Lecture

The annual Friedrich Hirzebruch Lecture is a series of lectures started in 2007 on the occasion of the 80th birthday of Prof. Friedrich Hirzebruch. The lectures address a general audience and aim at illustrating the relation between mathematics and art, society and other fields.

## MPI-Oberseminar

The Oberseminar is a very long running seminar at MPI (‘Ober‘ standing for 'upper'). Its idea is that the guests of the MPI speak in this seminar (hopefully early in their stay) and get the chance to explain their work to the other guests.

## IMPRS Minicourse

## Representation theory learning seminar

## Extra talk

## Seminar on Algebra, Geometry and Physics

## Seminar Algebraic Geometry (SAG)

## Higher Differential Geometry Seminar

## Archived Events

To narrow the list of events displayed please select year and event type or fill the search fields, then press *Apply*.

## MPI-Oberseminar

The Oberseminar is a very long running seminar at MPI (‘Ober‘ standing for 'upper'). Its idea is that the guests of the MPI speak in this seminar (hopefully early in their stay) and get the chance to explain their work to the other guests.

## Friedrich Hirzebruch Lecture

The annual Friedrich Hirzebruch Lecture is a series of lectures started in 2007 on the occasion of the 80th birthday of Prof. Friedrich Hirzebruch. The lectures address a general audience and aim at illustrating the relation between mathematics and art, society and other fields.

## "Pentagramma Mirificum". Hirzebruch lecture by Sergey Fomin on Friday, November 8, University Club Bonn

**Pentagramma Mirificum** (the miraculous pentagram) is a beautiful geometric construction studied by Napier and Gauss. Its algebraic description yields the simplest instance of cluster transformations, a remarkable family of recurrences which arise in diverse mathematical contexts, from representation theory and enumerative combinatorics to theoretical physics and classical geometry (Euclidean, spherical, or hyperbolic).

## Perturbing an isoradial triangulation

The theory of random Delaunay triangulations of the plane has been proposed by

David-Eynard and others as a discrete model for 2-dimensional quantum gravity: In this model

the role of a continuous metric is played by a Delaunay triangulation while flat metrics

correspond to isoradial triangulations (on which one can define a theory of discrete analyticity).

Like the continuous case, the partition function for this discrete theory is given by a suitably

normalized determinant of a Beltrami-Laplace operator which varies with the choice of

## Workshop on 4-manifolds, September 16 - 20, 2019

**Workshop on 4-manifolds, September 16 - 20, 2019**

#### Organizers

Jeffrey Meier (University of Georgia)

Arunima Ray (MPIM Bonn)

#### Confirmed Speakers:

Robert Gompf (UT Austin)

Sergei Gukov (Caltech)

András Juhász (Oxford)

Du Pei (Caltech)

Lisa Piccirillo (UT Austin)

Juanita Pinzón-Caicedo (North Carolina State University/MPIM Bonn)

Mark Powell (Durham)

Rob Schneiderman (CUNY)

Hannah Schwartz (Bryn Mawr/MPIM Bonn)

Laura Starkston (UC Davis)

András Stipsicz (Alfred Renyi)

Alex Zupan (University of Nebraska Lincoln)

## tba

## tba

## Rationality of Fano 3-folds over nonclosed fields

The rationality problem for smooth Fano threefolds over algebraically closed fields is basically solved.

In this talk I will discuss rationality of forms of these Fanos over nonclosed fields of characteristic 0.

I will concentrate on the case where the Picard number equals 1.

The talk is based on joint work with Alexander Kuznetsov (in progress).

## Persistent homology (from a mathematical point of view)

The goal of the talk is to present the basics of persistent homology which is one of the primary tools in applied algebraic topology and topological data analysis.

We hope to explain the mathematical ideas behind it, some of its current challenges and relations to sheaf theory.

## On a mean value result for a product of L-functions

The asymptotic behaviour of moments of L-functions is of special interest to number theorists and there

are conjectures that predict the shape of the moments for families of L-functions of a given symmetry type.

However, only some results for the first few moments are known. In this talk we will consider the asymptotic

behaviour of the first moment of the product of a Hecke L-function and a symmetric square L-function

in the weight aspect. This is joint work with O. Balkanova, G. Bhowmik, D. Frolenkov.

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