Programme


Schedule:

Thursday 19thFriday 20th
8:30Gil CavalcantiFridrich Valach
9:15Tom ArielCaleb Jonker
10:00BreakBreak
10:15Pedro H. Carvalho Matthieu Madera
11:00Eugenia BoffoRudolf Šmolka
11:45Alejandro CabreraJan Vysoký

Titles and abstracts:

Click on the title of a talk to see its abstract:


Thursday

Gil Cavalcanti (Utrecht University):
T-duality, Iterated sphere bundles and Massey products

TBA

Tom Ariel (KU Leuven/UAB):
TBA

TBA

Pedro H. Carvalho (Univerzita Hradec Králové):
TBA

TBA

Eugenia Boffo (Charles University):
Aspects of Batalin-Vilkovisky algebras

Batalin-Vilkovisky laplacians are special Cartan differential operators which appear in physics in the context of the quantization of gauge theories. In this talk, based on arXiv:2609.24781 with Domenico Fiorenza, I will discuss several aspects of BV laplacians: In particular, I will show that they descend from the datum of a Gerstenhaber algebra and a rank 1 module with a differential. Then I will introduce the notion of a Ševera bicomplex and explain that, under some assumptions, it inherits a Cartan calculus and thus a BV laplacian in cohomology. Our construction reproduces Pavol Ševera’s celebrated result on the origin of the BV operator on odd symplectic manifolds.

Alejandro Cabrera (UPC):
Infinite dimensional Courant reduction and geometry on moduli spaces

TBA


Friday

Fridrich Valach (Charles University):
Courant contact models and twists of supergravity

We show how one can associate, to any holomorphic Courant algebroid with a holomorphic volume form, a natural (infinite-dimensional) dg symplectic manifold called the Courant contact model. If the holomorphic Courant algebroid arises from a solution to Killing spinor equations in 10 dimensions, the result conjecturally describes Costello-Li’s holomorphic twist of type I supergravity. In the case of the standard Courant algebroid we recover (the cotangent description of) the deformation theory of Calabi-Yau manifolds. This is a joint work with C. Jonker, J. Kupka, I. Saberi, and C. Strickland-Constable.

Caleb Jonker(Charles University):
TBA

TBA

Matthieu Madera(UAB):
TBA

TBA

Rudolf Šmolka (CTU):
TBA

TBA

Jan Vysoký (CTU):
TBA

TBA