Skip to main content
Skip to main menu


Representation Theory and Tilings Workshop

Date and time:
Paul D. Coverdell Building, Room S175

RepTile Workshop

Feb. 22, 2019


Eduard Duryev 


Abstract:  How can one visualize algebraic curves given by equations? Consider a polygon in the complex plane with parallel equal sides identified by translations. Complex structure of the plane descends to give a Riemann surface, hence an algebraic curve. But how one identifies which algebraic curve it is? Usually this question is impossible to answer. In our talk we will give a series of examples of such polygons together with the equations of algebraic curves that they define.


Peter Smillie & Philip Engel 
Penrose tilings of compact surfaces, Part 1 

Abstract:  I'll give a few approaches to constructing tilings of compact surfaces by rhombuses glued according to Penrose's matching rules. I'll then give some bounds--a logarithmic lower bound and a polynomial upper bound -- for the growth of the function F_g(n) which gives the number of Penrose tilings of a genus g surface with n tiles.




Support us

We appreciate your financial support. Your gift is important to us and helps support critical opportunities for students and faculty alike, including lectures, travel support, and any number of educational events that augment the classroom experience. Click here to learn more about giving.

Every dollar given has a direct impact upon our students and faculty.