Mathematics 265

Singularities and Hodge theory (110474)

Mihnea Popa

2024 Fall (4 Credits)

Schedule: MW 1200 PM - 0115 PM

Instructor Permissions: None

Enrollment Cap: n/a

Hodge theory for smooth projective varieties over the complex numbers is a classical subject. It has been extended over the years in various ways to the setting of singular varieties. This course will (roughly) be devoted to one such extension, namely the theory of the Deligne-Du Bois complex, also known as the filtered De Rham complex. The emphasis will be on applications to birational geometry and to the theory of singularities. In particular it will discuss rational and Du Bois singularities, and recently introduced refinements of these notions.

Recommended Prep:

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