Date:
Mon, 25/12/202314:30-15:30
Location:
Ross 70 and Zoom
Title: Hilbert modular surfaces, revisited
Abstract:
Hilbert modular surfaces are 2-dimensional analogues of modular curves, in that they parametrize abelian surfaces with certain endomorphism and level structure. Similar to how curves are stratified by genus, surfaces are organized by their numerical invariants; the Enriques-Kodaira classification organizes smooth surfaces by Kodaira dimension, Hodge numbers, and Chern numbers. In this talk, I will explain how to compute these invariants for a Hilbert modular surface with various level structures needed for applications, thereby extending results of Hirzebruch, Zagier and van der Geer. This is joint work with A. Babei, B. Breen, E. Costa, J. Duque-Rosero, A. Horawa, J. Kieffer, A. Kulkarni, G. Molnar, S. Schiavone and J. Voight.
Zoom link
https://huji.zoom.us/j/88037279712?pwd=N3MwWW5RYzRTZHg4K0U2bS80Rmxjdz09
Meeting ID: 880 3727 9712
Passcode: 955263
Abstract:
Hilbert modular surfaces are 2-dimensional analogues of modular curves, in that they parametrize abelian surfaces with certain endomorphism and level structure. Similar to how curves are stratified by genus, surfaces are organized by their numerical invariants; the Enriques-Kodaira classification organizes smooth surfaces by Kodaira dimension, Hodge numbers, and Chern numbers. In this talk, I will explain how to compute these invariants for a Hilbert modular surface with various level structures needed for applications, thereby extending results of Hirzebruch, Zagier and van der Geer. This is joint work with A. Babei, B. Breen, E. Costa, J. Duque-Rosero, A. Horawa, J. Kieffer, A. Kulkarni, G. Molnar, S. Schiavone and J. Voight.
Zoom link
https://huji.zoom.us/j/88037279712?pwd=N3MwWW5RYzRTZHg4K0U2bS80Rmxjdz09
Meeting ID: 880 3727 9712
Passcode: 955263