#### Haitian Scientific Society 2014 Seminar Series

Geometry and symmetry from physics

**Eduardo Gonzalez**

University of Massachusetts Boston

**Abstract:**

I will give a general idea of how different geometric structures appear in theoretical physics. Symplectic geometry is essentially the language of mechanics and its quantisation yields to the classical mathematical framework of quantum mechanics. On the other hand, (pseudo) Riemannian structures appear in the context of (special) relativity. In this talk I will explain what the differences of these geometries is as well as why both are essential ingredients in classical theoretical physics. I will then discuss, how field and gauge theories (symmetries) need other aspects of geometry, and how algebraic geometric methods are becoming standard in string theory. This talk will be accessible to the general audience.

**Biographical sketch:**

Professor Gonzalez has done ground breaking work in Symplectic Geometry and Mirror Symmetry. He teaches and works in the Mathematics Department at the University of Massachusetts in Boston.

**Location:**

University of Massachusetts Boston

Science Hall, Second Floor Room 2-066

100 William T. Morrissey Boulevard

Boston, MA 02125

Directions and parking information can be found at: http://www.umb.edu/parking_transport/directions.html

**Date and time: **

Saturday, May 31, 2014

12:45 PM—2:30 PM