Student Algebraic Geometry
Organizer: Daniel Kim
Upcoming Events
We will prove the Ax--Schanuel theorem, which is a function field version of the Schanuel conjecture, using o-minimality.
Past Events
prove theorem 1.5, following sections 4.3–4.5
BKT sections 4.1–4.2
BKT, section 2.1 and section 3
BKT sections 2.2–2.3, more on Siegel sets and Borel–Serre compactifications
up through the definable Chow theorem
Voisin section 3, review of algebraic groups, define Siegel sets if time permits
Voisin section 2
A theorem of Cattani–Deligne–Kaplan states that the Hodge locus for a polarized variation of Hodge structures on a smooth complex variety is algebraic. Recently, Bakker–Klingler–Tsimerman gave a considerably simpler proof of the same result which is based on o-minimal geometry. The goal of the…
We will continue the computation of Gromov-Witten invariants on the quintic 3-fold by using the Atiyah-Bott localization method.
The main reference we will use is Chapter 9 of "Mirror Symmetry and Algebraic Geometry" by David Cox and Sheldon Katz.