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Session I.2 - Computational Number Theory

Monday, June 12, 17:30 ~ 18:00

A database of basic numerical invariants of Hilbert modular surfaces

Avi Kulkarni

Dartmouth College, United States   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Hilbert modular surfaces are two dimensional analogies of modular curves, in that they are moduli spaces of abelian surfaces with prescribed structure. In this talk, we describe our software package to compute some invariants of Hilbert modular surfaces including the Chern numbers and Kodaira dimension. Time permitting, I will also discuss future goals for the project.

Joint work with Eran Assaf (Dartmouth College), Angelica Babei (McMaster University), Ben Breen (Clemson University), Edgar Costa (MIT), Juanita Duque-Rosero (Dartmouth College), Aleksander Horawa (Oxford University), Jean Kieffer (Harvard), Grant Molnar (Dartmouth College), Sam Schiavone (MIT) and John Voight (Dartmouth College).

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