Geometrically Trivial Strongly Minimal Sets in DCF0

Kolchin seminar in Differential AlgebraFriday, October 10, 201412:30 pmGC 5382

Ronnie Nagloo

Geometrically Trivial Strongly Minimal Sets in DCF0

CUNY Graduate Center

In this talk we look at the problem of describing the “finer” structure of geometrically trivial strongly minimal sets in DCF0. In particular, I will talk about the ω-categoricity conjecture, recently disproved in its general form by James Freitag and Tom Scanlon, and the unimodularity conjecture, a weakening of the above conjecture and which came to life after the work on the second Painlevé equations.

Dr. Joel (Ronnie) Nagloo studies model theory and differential algebra. He holds a Ph.D. from Leeds University, completed under the supervision of Anand Pillay and Frank Nijhoff. After an initial postdoctoral position at the CUNY Graduate Center, he is now an Assistant Professor in mathematics at Bronx Community College.

Posted by on October 8th, 2014