Pixton's formula for the double ramification cycle
Speaker(s): Emily Clader (ETH) and Felix Janda (ETH)
Time: 00:00-00:00 May 25, 2015
Venue: Room 09 at Quan Zhai, BICMR
Speakers: Emily Clader (ETH) and Felix Janda (ETH)
Date: May 25, 2015 13:00 - 15:00
Venue: Room 09 at Quan Zhai, BICMR
Abstract: Recent work of Pixton proposes a formula for the double ramification (DR) cycle, a class on the moduli space of curves that, roughly speaking, describes the locus of curves admitting a map to the projective line with specified ramification over zero and infinity. His formula takes the form of an inhomogeneous class, and he conjectures that
(1) this class vanishes above some degree. Emily Clader will discuss this part in the first hour.
(2) its top-degree part coincides with the DR cycle. Felix Janda will discuss this part in the second hour based on the joint work with A. Pixton, R. Pandharipande and D. Zvonkine.