Deadline to Register
Monday October 4, 2021
Tony Pantev, University of Pennsylvania
The Simons Collaboration on Homological Mirror Symmetry Annual Meeting will focus on recent work which explores arithmetic, topological, and analytic refinements of the homological mirror correspondence. Alongside the foundational work needed to produce such refinements we will discuss some unexpected and exciting applications of the refined mirror constructions. Talks will highlight progress on novel and deeper aspects of the homological mirror correspondence.
On the symplectic side, these include categorical enhancements of mirror maps incorporating directly the dependence of Fukaya categories on the symplectic parameter, recent homotopy theoretic extensions of Floer theory and their implications to Hamiltonian dynamics and the topology of algebraic varieties, and strong finiteness results for symplectic homology that give rise to categorical crepant resolutions and bridge the Gross-Siebert intrinsic mirror symmetry program and the birational non-commutative geometry. On the algebraic side, talks will explore explicit mirror constructions for log and fractional Calabi-Yau varieties.
We will also investigate fundamental questions on the interaction of quantum spectra, quantum blow-up formulas, and semi-orthogonal decompositions of the derived categories of projective varieties. As an application, we will discuss how the semi-continuity of the spectrum combines with the quantum-blow up formula to produce new non-rationality criteria valid in any dimension.
Finally, on the topological side, talks will showcase a recent solution to the knot categorification problem which works uniformly for all gauge groups and is transformed non-trivially by homological mirror symmetry.
Thursday, November 18
8:30 AM CHECK-IN & BREAKFAST 9:30 AM PROGRAM | TBA 10:30 AM BREAK 11:00 AM PROGRAM | TBA 12:00 PM LUNCH 1:00 PM PROGRAM | TBA 2:00 PM BREAK 2:30 PM PROGRAM | TBA 3:30 PM BREAK 4:00 PM PROGRAM | TBA 5:00 PM DAY ONE CONCLUDES
Friday, November 19
8:30 AM CHECK-IN & BREAKFAST 9:30 AM PROGRAM | TBA 10:30 AM BREAK 11:00 AM PROGRAM | TBA 12:00 PM LUNCH 1:00 PM PROGRAM | TBA 2:00 PM MEETING CONCLUDES
Simons Foundation Lecture: November 17, 2021
Tea: 4:15-5:00 PM
Lecture: 5:00-6:15 PM
A public lecture on meeting themes will be presented the evening before the official start of the conference. Participants are encouraged to register and attend should their travel and other schedules align.
Simons Foundation Lectures are free public colloquia related to basic science and mathematics. These high-level talks are intended for professors, students, postdocs and business professionals, but interested people from the metropolitan area are welcome as well.
Participation & Funding
Participation in the meeting falls into the following four categories. An individual’s participation category is communicated via their letter of invitation.
Group A – PIs and Speakers
The foundation will arrange and pay for all air and train travel to the conference as well as hotel accommodations and reimbursement of local expenses. Business-class airfare will be booked for all flights over five hours.
Group B – Out-of-town Participants
The foundation will arrange and pay for all air and train travel to the conference as well as hotel accommodations and reimbursement of local expenses. Economy-class airfare will be booked for all flights.
Group C – Local Participants
Individuals in Group C will not receive financial support, but are encouraged to enjoy all conference-hosted meals.
Group D – Remote Participants
Individuals in Group D will participate in the meeting remotely. Please register at the link above and a remote participation link will be sent to you approximately two weeks prior to the meeting.
Travel & Hotel
Air and Train
The foundation will arrange and pay for all air and train travel to the conference for those in Groups A and B. Please provide your travel specifications by clicking the registration link above. If you are unsure of your group, please refer to your invitation sent via email.
For participants in Groups A & B driving to Manhattan, The James NoMad Hotel offers valet parking. Please note there are no in-and-out privileges when using the hotel’s garage, therefore it is encouraged that participants walk or take public transportation to the Simons Foundation.
Participants in Groups A & B who require accommodations are hosted by the foundation for a maximum of three nights at The James NoMad Hotel. Any additional nights are at the attendee’s own expense. To arrange accommodations, please register at the link above.
The James NoMad Hotel
22 E 29th St
New York, NY 10016
(between 28th and 29th Streets)
For driving directions to The James NoMad, please click here.
ALL in-person meeting attendees must be vaccinated against the COVID-19 virus with a World Health Organization approved vaccine, be beyond the 14-day inoculation period of their final dose, and provide proof of vaccination upon arrival to the conference. Acceptable vaccines can be found at the bottom of this page on WHO’s site.
Individuals in Groups A & B will be reimbursed for meals not hosted by the Simons Foundation as well as local expenses, including ground transportation. Additional information in this regard will be emailed on the final day of the meeting.