Path Homotopy Quiver Algebras and Mirror Symmetry
David Favero (University of Alberta)
Abstract: Given a quiver (directed graph) embedded in a topological space, one can consider the algebra of directed paths up to homotopy. Conversely, given a certain type of algebra, I will construct a quiver and a topological space which recovers this algebra by the above procedure. These constructions induce an equivalence between the derived category of the algebra and a certain subcategory of the derived category of sheaves on the topological space. As applications, I will recover some examples of homological mirror symmetry for Berglund-Hubsch-Krawitz mirrors and for toric varieties following work of Bondal and Fan-Lui-Treumann-Zaslow.
algebraic geometry
Audience: researchers in the topic
ZAG (Zoom Algebraic Geometry) seminar
Series comments: Description: ZAG seminar
The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.
If you use a calendar system, you can see the individual seminars at bit.ly/zag-seminar-calendar
Times vary to accommodate speakers time zones but times will be announced in GMT time.
| Organizers: | Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu |
| *contact for this listing |