# Winter School "Connections between representation theory and geometry"

**Dates:** October 5-9, 12-16 and 19-23, 2020**Venue:** online**Organizers:** Jenny August (Bonn), Sondre Kvamme (Uppsala), Daniel Labardini-Fragoso (Mexico City), Alexandra Zvonareva (Stuttgart)

The school plans to bring together experts on various connections between representation theory and geometry, who will deliver introductory mini-courses aimed at young representation theorists. The mini-courses will be further complemented by a number of talks linking the topics and putting them in a wider mathematical perspective.

Confirmed mini-course lecturers include:

- Bernhard Keller (Paris 7)
- James Pascaleff (Illinois)
- Sibylle Schroll (Leicester)

Single talks will be held by

- Claire Amiot (Institut Fourier, Grenoble)
- Tobias Dyckerhoff (Hamburg)
- Fabian Haiden (Oxford)
- Gustavo Jasso (Bonn)
- Ailsa Keating (Cambridge)
- Yanki Lekili (Kings College London)
- Ivan Smith (Cambridge)

The school was held online. For those who could not make it to the live talks, recordings of the talks were made available online.

Click here for the schedule.

Click here for the abstracts.

## Video recordings

**Bernhard Keller (Université de Paris, Paris 7): Introduction to A-infinity structures**

Lecture I:

Lecture II:

Lecture III:

**References:**

K. Lefèvre-Hasegawa, Sur les A-infini-catégories, Doctoral Thesis

V. Lyubashenko, Category of A-infinity categories. Homology Homotopy Appl. 5 (2003), no. 1, 1–48

Y.-G. Oh and H. L. Tanaka, A-infinity-categories, their infinity-category, and their localizations

**James Pascaleff (University of Illinois): Introduction to Fukaya categories**

Lecture I:

Lecture II:

Lecture III:

**Sibylle Schroll (University of Leicester): A geometric model for the bounded derived category of a gentle algebra**

Lecture I:

Lecture II:

Lecture III:

**Ivan Smith (University of Cambridge): Plumbings and flops**

**Gustavo Jasso (Universität Bonn): Partially wrapped Fukaya categories of symmetric products of marked disks**

**Fabian Haiden (University of Oxford): From Hall algebras to legendrian skein algebras**

**Tobias Dyckerhoff (Universität Hamburg): Perverse sheaves and schobers on Riemann surfaces**

**Yanki Lekili (King’s College London): Homological mirror symmetry for not-so-simple singularities**

**Claire Amiot (Université Joseph Fourier): Skew-gentle algebras and surface orbifolds**

**Ailsa Keating (University of Cambridge): Homological mirror symmetry for log Calabi-Yau surfaces**