Speaker: Christopher Marks (Cal. State Chico)
Title: Vector-valued modular forms and CM Jacobians
Abstract: In this talk, I will explain how vector-valued modular forms
may be used to compute explicitly periods of modular curves, and how the
application of this technique to noncongruence subgroups of the modular
group should soon yield new examples of Jacobians of modular curves with
complex multiplication (i.e., CM Jacobians).
Speaker: Eliot Fried (Okinawa Institute of Science and Technology)
Title: Kaleidocycles and Möbius bands
Abstract: Many of Escher’s works have become mainstays of popular culture. Famous examples include his kaleidocycles, each consisting of six identical regular tetrahedra and being capable of undergoing a cyclic everting motion that brings different tesselations of the tetrahedra into view. Esher also provided memorable interpretations of Möbius bands. We will consider kaleidocycles made from seven or more identical twisted tetrahedra, or disphenoids, and expose a deep, and to our knowledge, previously unnoticed connection between kaleidocycles and the 3π-twist Möbius band.
University of Hawaiʻi at Mānoa 2018