Trio of Topics Set for Next Mathematics Colloquium Series Talk

Mathematics Colloquium SeriesAs part of its Mathematics Colloquium Series, the Farquhar College of Arts and Sciences will host a guest lecture introducing three mathematical topics, with a discussion on their interrelation.

“Geometry, Topology, and Physics”

Mathematics Colloquium Series | Orlando Alvarez, Ph.D. (University of Miami)

Wednesday, Nov. 14

Noon­–1:00 p.m.
Mailman-Hollywood Building | Room 310

 

About the Talk

Geometry and topology enter into physics at many levels. This discussion will begin with Maxwell’s equations, as taught in an introductory physics course, and how they are related to the Gauss-Bonnet Theorem and the Gauss linking number. Next, Alvarez will introduce quantum mechanics and explain how Maxwell’s equations are related to topological Chern classes via Dirac’s charge quantization condition for magnetic monopoles. The talk will conclude with discussion of fermions, as well as the Atiyah-Singer Index Theorem and its uses in quantum field theory and in string theory.

About the Series

Hosted by the college’s Division of Math, Science, and Technology, the Mathematics Colloquium Series aims to increase awareness of mathematics’ importance and applications in daily life. The series also gives mathematics faculty members and students the opportunity to discuss independent research and share their passion for the subject. These talks are free and open to the public.

For more information on this lecture or the college’s Mathematics Colloquium Series, contact Vehbi Paksoy, Ph.D., or Iuliana Stanculescu, Ph.D., associate professors at the college.

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