## Upcoming conferences & activities

## Special colloquium for Prof. Don Zagier

Special colloquium on the occasion of the retirement of Prof. Don Zagier as MPIM director at the end of June 2019

## Arbeitstagung 2019 on Geometry

#### Arbeitstagung 2019 on Geometry, July 8 - 12, 2019

#### Organizers

W. Ballmann, U. Hamenstädt, and M. Kapovich

#### Local Organizers

#### Speakers

Gelander, Tsachik (The Weizmann Institute of Science)

Hein, Hans-Joachim (Fordham University)

Kleiner, Bruce (New York University)

Markovic, Vladimir (Caltech)

Song, Antoine (Princeton University)

#### Minicourses by

Gelander, Tsachik (The Weizmann Institute of Science)

Kleiner, Bruce (New York University)

In addition to the scheduled talks, 6 more lectures will be determined in the traditional Arbeitstagung way by open discussion during the meeting.

## SageMath presentation afternoon (Wednesday July 24th)

SageMath (http://www.sagemath.org/) is an open source software for mathematical computations. It gathers hundreds of specialized libraries and softwares in a unified Python interface.

On the afternoon of July 24th, there will be a presentation of SageMath at MPI Bonn (1:00 - 4:00). After tea time (ie from 5pm) several SageMath experts will be there on the fourth floor in case you need help for installing SageMath on your computer or need advice on how to carry a specific computation.

This event is **part of a week long workshop** taking place at the Computer Science department of Bonn University.

More information on can be found at https://wiki.sagemath.org/days100

## Conference on "Integrability, Geometry and Moduli", July 29 - August 2, 2019

## Conference on "Integrability, Geometry and Moduli" July 29 - August 2, 2019

This is a conference in honor of Motohico Mulase's 65th birthday. It will cover recent advances around the following themes

- Quantization of moduli spaces, in particular the Hitchin moduli space of Higgs bundles
- Gromov-Witten theory, Frobenius manifolds, integrable hierarchies, cohomological field theories
- Geometry of quiver varieties, wall-crossing phenomena
- Mirror symmetry, topological string theory, quantum invariants of 3-manifolds
- Topological recursion, quantum curves, and application to geometry and enumerative problems (Hurwitz theory, random matrix theory, ribbon graphs)

Connections between these fields are apparent from the physics perspective and research is trying to make rigorous sense of these relationships. Encouraging the exchanges between mathematicians and theoretical physicists will thus be an important dimension of the conference. More details available soon.

#### Organizers

Olivia Dumitrescu (Central Michigan University)

Steven Rayan (University of Saskatchewan)

Don Zagier (MPIM Bonn)

#### Provisory list of speakers:

Ron Donagi (University of Pennsylvania)

Bertrand Eynard (IPHT CEA Saclay)

Kenji Fukaya (Stony Brook)

**Stavros Garoufalidis**(MPIM Bonn & Georgia Institute of Technology)

Melissa Liu (Columbia University)

Yuri Manin (MPIM Bonn)

Hannah Markwig (Tübingen Universität)

Takuro Mochizuki (RIMS Kyoto)

Hiraku Nakajima (IPMU Tokyo)

Paul Norbury (Melbourne University)

Tony Pantev (University of Pennsylvania)

Yan Soibelman (Kansas State University)

## 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

## Recent developments in Quantum Topology

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.

## On Gromov-Witten invariants of P^1

Okounkov and Pandharipande derived Virasoro constraints for Gromov-Witten theory of P

1. Later and independently, using Teleman reconstruction theorem and its correspondence with topological recursion, Dunin-Barkowski et al. proved that the stationary sector is encoded in the meromorphic forms w_{g,n} computed by the topological recursion for the spectral curve x(z) = z + 1/z, y(z) = \ln z. This statement is equivalent to local Virasoro constraints.## Vertex Operator Algebras and Modular Forms

Time: Tuesdays, 4.30 - 6 pm

Place: MPIM Lecture Hall, Vivatsgasse 7

First lecture: on April 2, 2019, end on July 2

## Moment maps, their quantization and reduction

Given a Lie group acting on a Poisson manifold and a moment map, Marsden-Weinstein reduction allows us to reduce the manifold and the Poisson structure. This reduction procedure extends to invariant star products and quantum moment maps via the BRST approach. On the other hand, invariant Poisson structures (resp. star products) together with corresponding moment maps (resp. quantum moment maps) can be described as (curved) Maurer Cartan elements of certain DGLA's.

## Modular forms and optimization in the Euclidean space

## Arithmetic support and monodromy

In my talk on Arbeitstagung 2017 I introduced a strange series with rational coefficients related to p-curvatures of certain family of algebraic linear differential equations (Heun equations). This series has zero radius of convergence p-adically for any prime p, which seems to be a new phenomenon, and it is extremely hard to calculate (e.g. using first 40000 primes one can get only first 250 coefficients of the series).

## Single-valued integration

This talk was originally inspired by Zagier's construction of single-valued polylogarithms and regulators in the late 80's.

In short, single-valued functions are ubiquitous in mathematics and physics, since well-defined problems have well-defined answers. On the other hand, the solution to such a problem is often given by an integral, which is usually a multi-valued function of its parameters. The reason is that integration is a pairing between differential forms and chains of integration, and the latter are ambiguously defined.

## Hochschild cohomology and deformation quantization of affine toric varieties

For an affine toric variety we give a convex geometric description of the Hodge decomposition of its Hochschild cohomology. Moreover, we show that every Poisson structure on a possibly singular affine toric variety can be quantized in the sense of deformation quantization.

## 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*.

## Conference on "Elementare und Analytische Zahlentheorie (ELAZ)", September 3 - 7, 2018

**Conference on "Elementare und Analytische Zahlentheorie (ELAZ)"**

**September 3 - 7, 2018**

### Organizers

Kathrin Bringmann (Universität zu Köln)

Stephan Ehlen (Universität zu Köln)

Pieter Moree (MPIM Bonn)

## 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.

## 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

## Conference on "Integrability, Geometry and Moduli", July 29 - August 2, 2019

## Conference on "Integrability, Geometry and Moduli" July 29 - August 2, 2019

This is a conference in honor of Motohico Mulase's 65th birthday. It will cover recent advances around the following themes

- Quantization of moduli spaces, in particular the Hitchin moduli space of Higgs bundles
- Gromov-Witten theory, Frobenius manifolds, integrable hierarchies, cohomological field theories
- Geometry of quiver varieties, wall-crossing phenomena
- Mirror symmetry, topological string theory, quantum invariants of 3-manifolds
- Topological recursion, quantum curves, and application to geometry and enumerative problems (Hurwitz theory, random matrix theory, ribbon graphs)

Connections between these fields are apparent from the physics perspective and research is trying to make rigorous sense of these relationships. Encouraging the exchanges between mathematicians and theoretical physicists will thus be an important dimension of the conference. More details available soon.

#### Organizers

Olivia Dumitrescu (Central Michigan University)

Steven Rayan (University of Saskatchewan)

Don Zagier (MPIM Bonn)

#### Provisory list of speakers:

Ron Donagi (University of Pennsylvania)

Bertrand Eynard (IPHT CEA Saclay)

Kenji Fukaya (Stony Brook)

**Stavros Garoufalidis**(MPIM Bonn & Georgia Institute of Technology)

Melissa Liu (Columbia University)

Yuri Manin (MPIM Bonn)

Hannah Markwig (Tübingen Universität)

Takuro Mochizuki (RIMS Kyoto)

Hiraku Nakajima (IPMU Tokyo)

Paul Norbury (Melbourne University)

Tony Pantev (University of Pennsylvania)

Yan Soibelman (Kansas State University)

## Informal discussions, install party, etc

## Tea break

## Some computations in algebraic geometry, dynamics and low dimensional topology

## DAHA approach to algebraic knots and links

DAHA generally provide refined invariants of colored iterated links, which generalize the

WRT-invariants and HOMFLY-PT polynomials. In the uncolored case and for iterated knots,

they are conjectured to coincide with the stable reduced Khovanov-Rozansky polynomials (the most

powerful numerical invariants we have). The "intrinsic" DAHA conjectures are mostly verified

at the moment; these properties are generally difficult to check topologically. The DAHA super-

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