Geometry, Topology, and Physics Seminar, Fall 2019
Dave Morrison and
Meets 4:00 - 5:30 p.m.
Fridays in South Hall 6635.
Other Quarters: [
Dave Morrison (UCSB)
The mirror of the generic quintic threefold was found by Greene and
Plesser in 1990 and used to predict enumerative invariants of the quintic by
de la Ossa, Green, and Parkes in 1991. To perform mirror computations in the
opposite direction for this pair of examples seems daunting, since the vector
describing Kähler moduli (and containing the Kähler cone) has dimension 101. We
will describe some work in progress with Katz and some work in progress with
which describes the structure of the Kähler cone as well as its dual, the Mori
We will also review the recent construction of Hayashi, Jefferson, Kim, Ohmori,
Vafa (arXiv:1905.00116) which makes enumerative predictions for the mirror
predictions which are confirmed in many cases by our analysis.