Super (califragilisticexpialidocious) Geometry

10 juin 2026, 14:00 → 12 juin 2026, 15:30 Europe/Paris

Amphi Jordan (Braconnier )

Details at http://ryvkin.eu/conferences/sg2026/

mer. 10 juin

1 What super is about and good for in mathematics and physics

Orateur: François Gieres

2 Graded manifolds and homogeneity

Orateur: Katarzyna Grabowska

3 Examples of supersymmetric field theories

Je présenterai brièvement les supervariétés, l'intégrale de Berezin et quelques modèles de théorie des champs supersymétriques : celui d'une superparticule évoluant sur une variété riemannienne et celui d'un champ scalaire sur l'espace de Minkowski de dimension 2+1. Si le temps le permet j'indiquerai quelques généralisations en dimension 3+1, 5+1 et 9+1. Ce faisant j'essaierai de comparer deux formulations, l'une en composantes (multiplets), l'autre sur un super espace.

Orateur: Frédéric Hélein (Université Paris Cité, IMJ-PRG)

jeu. 11 juin

4 Encore on supergeometry

Orateurs: François Gieres, Frédéric Hélein (Université Paris Cité, IMJ-PRG)

5 Fedosov connections and L-infinity algebras

Orateur: Martha Valentina Guarin Escudero

6 Linearizing in terms of dg-manifolds

Orateur: Anastasios Fotiadis

7 TBA

Orateur: M. Ouneïs Gloton (Université de Bourgogne)

8 Homogeneity in supergeometry

Orateur: Katarzyna Grabowska

ven. 12 juin

9 Multiplicative sections of a CA-groupoid

abstract: The talk is about the algebraic structure of the category of multiplicative sections of a CA-groupoid, which are known as multiplicative Courant algebroids. We will show that this category has the structure of a 2-term strongly homotopy Leibniz algebra, which, in the case of exact CA-groupoids, is invariant under Morita equivalence. This is joint work with Cristian Ortiz and Clarice Netto.

Orateur: Emma Alejandra Cupitra Vergara (Estudiante)

10 Functors between categories of graded manifolds

Orateur: Oleksii Kotov (Researcher)

11 Enumerative Geometry and supersymmetric gauge theory

(séminaire physmath)

abstract: Supersymmetric gauge theories have led to remarkable interactions between quantum field theory and enumerative geometry. In this talk, I will start with an overview of the physics idea and discuss what kind of enumerative invariants arise in this context. I will then present a new result on the (K-theoretic) I-function, which is seen as a generating function of the Gromov-Witten invariants via the mirror symmetry, together with its relation to integrable systems.

Orateur: Taro Kimura (Université Bourgogne Europe)