[ugrads] Fwd: Cory Knapp Talk, Wednesday

Fred J. Hickernell hickernell at iit.edu
Tue Mar 16 06:53:03 CDT 2010

Dear students, 

Cory Knapp will be giving a talk this Wednesday at Math Club
E1 102
 Cory is an undergraduate who recently returned from a Mathematics
 semester in Budapest
 He also has done/ is doing research here at IIT

 Dont miss out on this great talk

 Briefly, a filter on a set X is a family of subsets of X which is
 closed upwards and under finite intersections; an ultrafilter is a
 filter for which every subset of X or its complement are guaranteed to
 be in the filter. Ultrafilters have applications in logic, topology
 and set theory. My talk will give a slightly more in-depth definition
 of an ultrafilter, and discuss their relation to probability measures
 where an event happens either "almost always" or "almost never". The
 talk will end with a brief mention of some foundational issues
 regarding the existence of ultrafilters on the set of natural numbers.

Best regards,

Fred J. Hickernell, Professor and Chair
Department of Applied Mathematics, Illinois Institute of Technology
E1 Bldg Rm 208, 10 West 32nd Street, Chicago, IL 60616
Email: fred at math.iit.edu, Web: www.iit.edu/~hickernell
Office Phone: 1 312 567 8983, Office Fax: 1 312 567 3135
Cell Phone: 1 630 696 8124

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