Cari tutti,
il prossimo seminario di geometria algebrica e aritmetica di Pisa si terrà mercoledì 19 ottobre in Aula Magna del Dipartimento.
Programma:
15:00--16:00 Ádám Gyenge (Budapest): The Heisenberg category of a category
The Heisenberg algebra associated with a lattice is a much-investigated object originating in quantum theory. Khovanov introduced recently a categorification of the infinite Heisenberg algebra associated with the free boson or, equivalently, a rank 1 lattice, using a graphical construction involving planar diagrams. We extend Khovanov’s graphical construction to derived categories of smooth and projective varieties or, more generally, to categories having a Serre functor. In our case, the underlying lattice will be the (numerical) Grothendieck group of the category. We also obtain a 2-representation of our Heisenberg category on a categorical analogue of the Fock space. Joint work with Clemens Koppensteiner and Timothy Logvinenko.
Homepage del seminario: https://indico.cs.dm.unipi.it/category/4/
Migliori saluti, Tamás Szamuely