Indefinite Theta Functions - Theory and Applications

Explore a comprehensive mathematics seminar recording where Dr. Larry Rolen from Vanderbilt University delves into the theory and applications of indefinite theta functions as part of the "Black holes: bridges between number theory and holographic quantum information" series. Learn about key examples and historical context of indefinite theta functions, understand Vignéras' work on their modularity properties, and discover methods for finding modular completions. Gain insights into mock modular forms, higher depth mock modular forms, and potentially mock Maass theta functions as theorized by Zwegers in this advanced mathematical discussion that bridges number theory and quantum information.