# Colloquia

## Upcoming Colloquia for the Fall Semester

**Tuesday, December 9, 2014, 4:00pm, UBC 192: **

**Dr. Marat Markin (Fresno State) **

**Title: On one amazing formula binding two branches of mathematics**

**Abstract: ***Gelfand's spectral radius formula*, relating the purely algebraic concept of the *spectrum* of an element of a complex Banach algebra to the analytic entities of *limit* and *norm*, can be rightfully considered a vivid revelation of the intrinsic connection between the two branches of mathematics: algebra and analysis. We are going to consider a traditional proof of this fundamental result based on the generalization of Liouville's theorem in complex function theory to vector-valued functions and see how the formula works within the familiar framework of linear algebra and calculus.

**If you need a disability-related accommodation or wheelchair access information, please contact the Mathematics Department at 559.278.2992 or e-mail** math.office@csufresno.edu. **Requests should be made at least one week in advance of the event.**

## Archived Colloquia

• AY2014/15 • AY2013/14 • AY2012/13 • AY2011/12 • AY2010/11

• AY2009/10 • AY2008/09 • AY2007/08 • AY2006/07