[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
12:50
 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

 ABSTRACT:
 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

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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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