Gluing relative stability conditions along pushouts

Alex Takeda (IHES, France)

21-May-2020, 12:00-13:00 (4 years ago)

Abstract: In this talk I will discuss the results of arXiv:1811.10592 and some later developments, concerning how to produce Bridgeland stability conditions on certain categories from using a local-to-global principle. The example of particular interest will be the topological Fukaya category of a marked surface, and the description of the local data is inspired by the construction of stability conditions on such categories using quadratic differentials by Haiden, Katzarkov and Kontsevich. As an application of this method, we show that one can understand all the components of the stability space of such categories, and that in suitable cases the whole space is described by these HKK stability conditions.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides | video )


Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.

LAGOON will take place online every last Wednesday of the month from 14:00-15:00 (Time Zone Berlin, Rome, Paris).

Videos of the talks can be viewed here.

Video recordings of past talks until April 2022 can still be viewed on the ICMS webpage here.

Organizers: Severin Barmeier, Frank Neumann*, Sibylle Schroll*
*contact for this listing

Export talk to