## Special Colloquium for Werner Ballmann

## Conference on "Higher Homotopy Algebras in Topology", May 9 - 10, 2019

**Conference on "Higher Homotopy Algebras in Topology", May 9 - 10, 2019**

Algebras up to homotopy, or homotopy algebras, such as $A_\infty$, $C_\infty$, $E_\infty$ and $L_\infty$, play an increasingly important role in many areas of mathematics and physics, like topology, mathematical physics, and deformation theory. Let us mention a few examples of interest. Homotopy Lie algebras, also known as $L_\infty$-algebras, have been essential in Kontsevich's proof of deformation quantization. In algebraic topology, $C_\infty$ and $L_\infty$-algebras arise as structures governing the rational homotopy type of spaces, and $E_\infty$-(co)algebras naturally appear as an algebraic structure on infinite loop spaces and on the singular (co)chains of any space. Recent advances in this line include the use of higher homotopy algebras to model all sorts of interesting spaces, such as mapping spaces, sections of fiber bundles, configuration spaces, among many others.

This mini-conference focuses on the most recent developments and applications of homotopy algebras in topology.

Organizers

Felix Wierstra (MPIM Bonn)

#### Provisory list of speakers:

Ricardo Campos (Université de Montpellier)

Joana Cirici (Universitat de Barcelona)

Vladimir Dotsenko (Trinity College Dublin)

Benoit Fresse (Université de Lille)

Najib Idrissi (Université Paris Diderot)

Pascal Lambrechts (Université catholique de Louvain-la-Neuve)

Aniceto Murillo (Universidad de Malaga)

Fernando Muro (Universidad de Sevilla)

* to be confirmed.

## Conference on "Enumerative Arithmetic and the Cohen–Lenstra Heuristics", June 3 - 7, 2019

**Conference on "Enumerative Arithmetic and the Cohen–Lenstra Heuristics", June 3 - 7, 2019**

#### Organizers

#### Selected invited speakers:

* to be confirmed

## 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.

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

**Conference on "Geometry, integrability 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)

Davide Gaiotto (Perimeter Institute)

Tamas Hausel (IST Austria)

Laura Fredrickson (Stanford)

Kenji Fukaya (Stony Brook)

Hiroshi Iritani (Kyoto University)

Maxim Kontsevich (IHES)

Melissa Liu (Columbia University)

Yuri Manin (MPIM Bonn)

Marcos Mariño (Université de Genève)

Hannah Markwig (Tübingen Universität)

Takuro Mochizuki (RIMS Kyoto)

Hiraku Nakajima (IPMU Tokyo)

Andrew Neitzke (The University of Texas at Austin)

Tony Pantev (University of Pennsylvania)

Yan Soibelman (Kansas State University)

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