Mirror symmetry and log del Pezzo surfaces
CMSA EVENTS: CMSA ALGEBRAIC GEOMETRY IN STRING THEORY SEMINAR, CMSA EVENTS
When: May 16, 2024
10:30 am - 11:30 am
Where: CMSA, 20 Garden St, G10
Address:
20 Garden Street, Cambridge, MA 02138, United States
Speaker: Franco Rota - Glasgow
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 early results on the A side, using the language of pseudolattices to focus on the special case of a smooth degree 2 del Pezzo surface. This is joint work with Giulia Gugiatti.
Meeting ID 933 3848 0366
Passcode 564263