Schedule

Lectures meet in Tech M345. All rooms are in the Technological Institute, 2145 Sheridan Rd, Evanston, IL 60208.

9:15–10:15 AM Shankar — Tate's theorem on endomorphisms of abelian varieties

10:30–11:30 AM Engel — Elliptic curves, periods, and \(\mathcal{A}_1\)

11:45 AM–12:45 PM Liu — Moduli Functors, Grassmannians, and Hilbert Schemes

2:30–4:30 PM Problem session — Engel (Tech L221), Liu (Tech M152), Shankar (Tech M345)

9:00–10:00 AM Shankar — The Honda–Tate classification

10:15–11:15 AM Liu — From Quotients to Stacks: Automorphisms and Quotient Stacks

11:30 AM–12:30 PM Engel — Hodge structures

2:00–5:00 PM Problem session — Engel (Tech L221), Liu (Tech M152), Shankar (Tech M345)

9:00–10:00 AM Shankar — CM lifts and rational curves

10:15–11:15 AM Engel — VHS and period maps

11:30 AM–12:30 PM Liu — The Moduli Stack of Smooth Curves \(\mathcal{M}_g\)

2:00–5:00 PM Problem session — Engel (Tech L221), Liu (Tech M152), Shankar (Tech M345)

9:00–10:00 AM Shankar — Frobenius semisimplicity via Hecke correspondences

10:15–11:15 AM Engel — Miscellaneous topics

11:30 AM–12:30 PM Liu — Stable Curves and the Compactification \(\overline{\mathcal{M}}_g\)

2:00–5:00 PM Problem session — Engel (Tech L221), Liu (Tech M152), Shankar (Tech M345)

9:00 AM–12:00 PM Problem sessions (no morning lectures) — Liu (Tech M120), Shankar (Tech M345)

1:00–3:00 PM Unofficial problem session