Department of Mathematics

Geometry Seminar

  •  Woongbae Park, University of Pittsburgh
  •  An integral formula for rational homotopy groups and analytic estimates.
  •  03/30/2023
  •  12:00 PM - 1:00 PM
  •  C304 Wells Hall
  •  Benjamin I Schmidt (

In this talk, I present a rational homotopy group and and its construction using minimal models given by Sullivan. After briefly describing Sullivan's theorem, I will consider the specific example of S^n v S^n and compute few low-dimensional rational homotopy groups. In the second part, I introduce the Novikov integral formula for the rational homotopy group and provide analytic bound obtained from the integral formula. The talk will end with specific examples.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science