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The Kähler Cone of the Mirror Quintic
Mathematical Physics Seminar| Speaker: | David R. Morrison, UC Santa Barbara |
| Related Webpage: | http://web.physics.ucsb.edu/~drm/ |
| Location: | 2112 MSB |
| Start time: | Fri, Oct 25 2019, 11:00AM |
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 Candelas, 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 space 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 Morgan which describes the structure of the Kähler cone as well as its dual, the Mori cone. We will also review the recent construction of Hayashi, Jefferson, Kim, Ohmori, and Vafa (arXiv:1905.00116) which makes enumerative predictions for the mirror quintic. Their predictions are confirmed in many cases by our analysis.
There will be a lunch after Professor Morrison's talk.