“Computational methods for modular and Shimura curves,” by John Voight (Part 2 of 8)

“Computational methods for modular and Shimura curves,” by John Voight (Dartmouth College). The classical method of modular symbols on modular curves is introduced to compute the action of the Hecke algebra and corresponding spaces of modular forms. Generalizations to Shimura curves will then be discussed using Dirichlet modular symbols.

This is a video from CTNT, the Connecticut Summer School in Number Theory that took place at UConn during August 8th - 14th, 2016, organized by Keith Conrad, Amanda Folsom, Alvaro Lozano-Robledo, and Liang Xiao. For more information, see