**Seminars and Colloquiums**

for the week of November 28, 2016

for the week of November 28, 2016

*SPEAKER:*

Pawel Grzegrzolka, UTK, Monday

*TEA TIME -
3:00 pm – 3:30 pm
Monday & Tuesday
Room: Ayres 401*

*Hosted by: Cameron Cook, Shuler Hopkins, and Jack Ryan*

**Monday, November 28th **

ALGEBRA SEMINAR

TITLE: Properties of the set of continuous functions from a compact Hausdorff space to a topological field, Part II– Example of an exotic topological field.

SPEAKER: Pawel Grzegrzolka, UTK

TIME: 3:35pm – 4:25pm

ROOM: Ayres 113

The study of continuous functions between a compact Hausdorff space and a topological field arises in a variety of areas of mathematics, including abstract algebra. In the last week’s talk, we showed that under mild conditions on our spaces, the set of such continuous functions satisfies very interesting properties; in particular, we showed that such set of continuous functions from a compact Hausdorff space to the field of real numbers is a ring whose space of maximal ideals is homeomorphic to the compact Hausdorff space itself. In this continuation of the last week’s talk, we will show why the assumption of compactness of our Hausdorff space is necessary. In addition, we will present a more exotic example of a topological field which will satisfy almost all necessary assumptions needed for the previously discussed homeomorphism.

*If you are interested in giving or arranging a talk for one of our seminars or colloquiums, please review our calendar. *

*If you have questions, or a date you would like to confirm, please contact colloquium AT math DOT utk DOT edu *

**Past notices:**