APS
Speaker: Bittu Singh, IIT Bombay
Host: Rekha Santhanam
Title: On Equivariant Formality of G-equivariant Sapces and Maps
Time, day and date: 10:00:00 AM – 11:00:00 AM, Thursday, September 10
Venue: Ramanujan Hall
Abstract: Triantafillou and Scull developed an equivariant rational homotopy theory in which the rational $G$-homotopy type of a simply $G$-connected space is encoded by a suitable functor taking values in commutative differential graded algebras (CDGAs). When the rational $G$-homotopy type of a $G$-space is completely determined by the associated cohomology diagram, the space is called equivariantly formal. This perspective naturally leads to the study of formal maps, namely maps whose rational homotopy-theoretic information is, up to the appropriate notion of equivalence, determined by their induced maps in cohomology. In this talk, we discuss formality of spaces and maps in the equivariant setting. 

Algebraic Groups Seminar
Speaker: Sabyasachi Dhar, IIT Bombay
Host: Shripad M. Garge
Title: F-rank and the duality functor
Time, day and date: 5:00:00 PM – 6:00:00 PM, Thursday, September 10
Venue: Room 215
Abstract: F-rank and the duality functor from Digne-Michel, Chapter 7