Calendar
- 15March 15, 2020No events
- 16March 16, 2020
**CANCELED** CMSA Special Lecture: Shiing-Shen Chern as a Great Geometer of 20th Century **CANCELED**
1 Oxford Street, Cambridge, MA 02138No additional detail for this event.
- 17March 17, 2020
**CANCELED** Lifting cobordisms and Kontsevich-type recursions for counts of real curves **CANCELED**
Kontsevich’s recursion, proved in the early 90s, is a recursion formula for the counts of rational holomorphic curves in complex manifolds. For complex fourfolds and sixfolds with a real structure (i.e. a conjugation), signed invariant counts of real rational holomorphic curves were defined by Welschinger in 2003. Solomon interpreted Welschinger’s invariants as holomorphic disk counts in 2006 and proposed Kontsevich-type recursions for them in 2007, along with an outline of a potential approach of proving them. For many symplectic fourfolds and sixfolds, these recursions determine all invariants from basic inputs. We establish Solomon’s recursions by re-interpreting his disk counts as degrees of relatively oriented pseudocycles from moduli spaces of stable real maps and lifting cobordisms from Deligne–Mumford moduli spaces of stable real curves (this is very different from Solomon’s approach).
- 18March 18, 2020No events
- 19March 19, 2020No events
- 20March 20, 2020No events
- 21March 21, 2020No events