PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan, Mihran Papikian, Ae Ja Yee, Kirsten Eisentraeger.

Title:Cones of higher codimension cycles
Seminar:Algebra and Number Theory Seminar
Speaker:Izzet Coskun, University of Illinois at Chicago
There is a well-developed theory of effective and nef divisors on projective varieties. In contrast, the theory of higher codimension cycles is much more difficult and we lack good criteria for determining when cycle classes are effective or nef. In this talk, I will discuss joint work with John Lesieutre on higher codimension pseudo-effective cones of blowups of projective space. In particular, we show that for a very general point blowup of projective space which is a Mori Dream Space all higher codimension effective cones are finitely generated. This is false for blowups of projective space along higher dimensional subvarieties. If time permits, I will discuss joint work with Dawei Chen on higher codimension cycles on moduli spaces of curves.

Room Reservation Information

Room Number:MB106
Date:02 / 18 / 2016
Time:11:15am - 12:05pm