Department of Mathematics
"Carlsson's Conjecture and Differential Graded Modules -I"
Abstract: In transformation group theory, there is a well known conjecture which states
that if G=(Z/pZ)^r acts freely on a product of k spheres, then r is less than or equal to k.
Carlsson states another conjecture which is even stronger than this conjecture; if C is a
finite complex of free F_p[G] modules with nonzero homology, then dim_k H_*(C) is greater than or equal to 2^r. In this talk, we will discuss a conjecture which is equivalent to Carlssons conjecture for p=2 by considering differential graded modules over a polynomial ring in r variables over a field of characteristic 2. This is the first talk of a series of seminars on this topic which we plan to give during this semester.
Date: Monday, October 3, 2016
Place: Mathematics Seminar Room, SA-141
All are most cordially invited.
Tea and cookies will be served after the talk.