Seminar

A-infinity structures on almost complex manifolds

Higher algebraic structures in algebra, topology and geometry

18 January 14:15 - 16:00

Joana Cirici - Universitat de Barcelona

Dolbeault cohomology is a fundamental cohomological invariant for complex manifolds. This analytic invariant is connected to de Rham cohomology by means of a spectral sequence, called the Frölicher spectral sequence. In this talk, I will explore this connection from a multiplicative viewpoint: using homotopy-theoretical methods, I will describe how products (and higher products) behave in the Frölicher spectral sequence. I will also review an extension of the theory to the case of almost complex manifolds and talk about some open problems in complex geometry that may be addressed using homotopy theory.

 

Click here to watch the seminar

Organizers
Gregory Arone
Stockholm University
Tilman Bauer
KTH Royal Institute of Technology
Alexander Berglund
Stockholm University
Søren Galatius
University of Copenhagen
Jesper Grodal,
University of Copenhagen
Thomas Kragh
Uppsala University

Program
Contact

Alexander Berglund

alexb@math.su.se

Søren Galatius

galatius@math.ku.dk

Thomas Kragh

thomas.kragh@math.uu.se

Other
information

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