Special Year Research Seminar
Shape Invariant and Its Quantitative Applications
In this talk, we introduce a non-linear symplectic capacity for four-dimensional Euclidean domains $X$, known as the shape invariant of $X$, which encodes the embeddability of Lagrangian tori into $X$. We present a computational framework for this invariant based on techniques from symplectic field theory (SFT). Furthermore, we explore its applications in uncovering new obstructions to symplectic embeddings and to local geometric properties of the (symplectic) Banach--Mazur metric.
This talk is based on joint work with Richard Hind.
Date & Time
November 12, 2026 | 11:00am – 12:00pm
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11/12/2026 11:00
11/12/2026 12:00
Special Year Research Seminar
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Topic: Shape Invariant and Its Quantitative Applications
Speakers: Jun Zhang, USTC-IGP and University of Notre Dame
More: https://www.ias.edu/math/events/special-year-research-seminar-55
In this talk, we introduce a non-linear symplectic capacity for
four-dimensional Euclidean domains $X$, known as the shape invariant
of $X$, which encodes the embeddability of Lagrangian tori into $X$.
We present a computational framework for this invariant based on
techniques from symplectic field theory (SFT). Furthermore, we explore
its applications in uncovering new obstructions to symplectic
embeddings and to local geometric properties of the (symplectic)
Banach--Mazur metric.
This talk is based on joint work with Richard Hind.
Simonyi Hall 101
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Location
Simonyi Hall 101Speakers
Jun Zhang, USTC-IGP and University of Notre Dame