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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Differential Geometry Seminar On a formulation of Strominger-Yau-Zaslow conjecture
On a formulation of Strominger-Yau-Zaslow conjecture
Organizers
Kenji Fukaya , Lynn Heller , Sebastian Heller , Kotaro Kawai
Speaker
Hang Yuan
Time
Tuesday, September 10, 2024 3:00 PM - 4:00 PM
Venue
A7-101
Online
Zoom 638 227 8222 (BIMSA)
Abstract
Given a graded or special Lagrangian fibration, we propose that the dual torus fibration, for a refined formulation of the SYZ conjecture, should be interpreted as a non-Archimedean torus fibration defined over the Novikov field. This proposal stems from a toy model of the SYZ duality, drawing parallels between the complex logarithm map and the non-Archimedean tropicalization map. Both are viewed as torus fibrations over Euclidean space, equipped with the trivial integral affine structure. A canonical globalization of this toy model, which preserves the integral affine structure, is constructed via (family) Floer theory applied to the family of Lagrangian fibers. Time permitting, we will briefly explain some basic aspects of non-archimedean geometry and/or explore explicit SYZ examples with extensions to singular fibers.
Beijing Institute of Mathematical Sciences and Applications
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