SEMINARIO DI GEOMETRIA ALGEBRICA
Nell'ambito del seminario congiunto di geometria algebrica
organizzato dai Dipartimenti di Matematica dell'Università e del Politecnico di Milano,
giovedì 4 Aprile alle 11:30 (durata 1 ora)
in Aula di Rappresentanza del Dipartimento di Matematica "F. Enriques", si terrà il seguente seminario:
Franco Rota (University of Glasgow)
Towards homological mirror symmetry for log del Pezzo surfaces.
Abstract: The homological mirror symmetry conjecture predicts a duality, expressed in terms of categorical equivalences, between the complex geometry of a variety X (the B side) and the symplectic geometry of its mirror object Y (the A side).
Motivated by this, we study a series of singular surfaces (called log del Pezzo). I will describe the category arising in the B side, using the McKay correspondence and explicit birational geometry. I will discuss some results on the A side, focusing on the special case of a smooth degree 2 del Pezzo surface. This is joint work with Giulia Gugiatti.