**Date & Time:** Thursday, February 12, 2015, 11:00-12:00.

**Venue:** Ramanujan Hall

**Title:** Complex Cobordism of quasitoric orbifolds

**Speaker:** Soumen Sarkar, Unviersity of Regina

**Abstract:** In this talk I will construct manifolds and orbifolds with
quasitoric boundary. I'll show that these manifolds and orbifolds with
boundary has a stable complex structure. These induce explicit (orbifold)
complex cobordism relations among quasitoric manifolds and orbifolds. In
particular, we show that a quasitoric orbifold is complex cobordant to
some copies of fake weighted projective spaces. The famous problem of
Hirzebruch is that which complex cobordism classes contain connected
nonsingular algebraic varieties? I'll give some sufficient conditions to
show when a
complex cobordism class may contain an almost complex quasitoric manifold.
Andrew Wilfong give some necessary condition of this problem up to
dimension 8.