### 31 August — 2 September 2022

**Higher structures in**

**deformation theory**

**Workshop at the University of Freiburg**

*A three-day workshop on higher structures in deformation theory and applications*

*A three-day workshop on higher structures in deformation theory and applications*

Deformation theory appears in a wide number of subject areas such as algebraic geometry, Poisson geometry and deformation quantization, symplectic topology, singularity theory and representation theory and studies the behaviour of mathematical objects (algebras, varieties, categories, ...) in families.

This workshop, funded by the Research Training Group "Cohomological Methods in Geometry", looks to bring together early-career researchers working on particular aspects or applications of higher structures in deformation theory. It is a **BYODP event** (Bring Your Own Deformation Problem). The scientific programme consists of one 3-lecture course on deformation theory via L∞ algebras, and one 6-lecture course by Jon Pridham on derived deformation theory as well as contributed talks by early-career researchers.

**Organizers ** Severin Barmeier (Cologne) and Jonas Schnitzer (Freiburg).

## Mini-courses

**Deformation theory via L∞ algebras**

**Deformation theory via L∞ algebras**

*3 lectures*

Severin Barmeier & Jonas Schnitzer

University of Cologne & University of Freiburg

**An introduction to derived deformation theory**

**An introduction to derived deformation theory**

*6 lectures*

Jon Pridham

University of Edinburgh

## Talks

Ryan Aziz (Université Libre de Bruxelles)**Quantum differentials on cross product Hopf algebras**

Tiago Cruz (University of Stuttgart)**Ringel self-duality via relative dominant dimension**

Marvin Dippell (Universität Würzburg)**Towards an HKR-Theorem for coisotropic reduction**

Jiaqi Fu (Institut de Mathématiques de Toulouse)**Formal moduli problems and partition Lie algebras**

Wouter Rienks (University of Amsterdam)**Deformations of Fourier–Mukai transforms between Calabi–Yau varieties**

Philipp Schmitt (Leibniz Universität Hannover)**Strict quantization of polynomial Poisson structures**

Karandeep Singh (KU Leuven)**Stability results in geometry and differential graded Lie algebras**