Department of Mathematics
"Carlsson's Conjecture and
Differential Graded Modules -I"
By
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
Carlsson’s 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
Time: 13.40-14.30
Place: Mathematics Seminar Room,
SA-141
All are most cordially invited.
Tea and cookies will be served after the talk.