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:

B. Keller, Introduction to A-infinity algebras and modules. Homology Homotopy Appl. 3 (2001), no. 1, 1–35

M. Kontsevich and Y. Soibelman, Homological mirror symmetry and torus fibrations. Symplectic geometry and mirror symmetry (Seoul, 2000), 203–263, World Sci. Publ., River Edge, NJ, 2001

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

P. Seidel and R. Thomas, Braid group actions on derived categories of coherent sheaves. Duke Math. J. 108 (2001), no. 1, 37–108

J. D. Stasheff, Homotopy associativity of H-spaces. Trans. Amer. Math. Soc. 108 (1963), 275-292; ibid. 108 1963 293–312, Part I

J. D. Stasheff, Homotopy associativity of H-spaces. Trans. Amer. Math. Soc. 108 (1963), 275-292; ibid. 108 1963 293–312, Part II

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