CMSA Algebraic Geometry in String Theory Seminar: Mirror symmetry and log del Pezzo surfaces

CMSA ALGEBRAIC GEOMETRY IN STRING THEORY SEMINAR, SEMINARS, CMSA EVENTS

May 16, 2024 10:30 am - 11:30 am

CMSA, 20 Garden St, G10

Address: 20 Garden Street, Cambridge, MA 02138

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.

Zoom link https://harvard.zoom.us/j/93338480366?pwd=NEROWElhWStQVjVLRVZFSm1tV1ZCdz09

Meeting ID 933 3848 0366

Passcode 564263