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UID:2c54101148a3d2514740bb660d5bb1d4
CATEGORIES:Symplectic Geometry Seminar
CREATED:20250303T153334
SUMMARY:Ellipsoids and scattering diagrams
LOCATION:Hill 705
DESCRIPTION: \nAbstract: A central open problem in higher dimensional quantitative symp
 lectic geometry is to understand when one ellipsoid can be squeezed into an
 other by a Hamiltonian flow. In principle symplectic field theory (SFT) pro
 vides substantial tools for tackling this question, but the SFT of ellipsoi
 ds is still not well-understood. In this talk, I will discuss an ongoing pr
 oject which applies ideas from log Calabi-Yau mirror symmetry in order to u
 nderstand the SFT of ellipsoids in terms of an algebraic object called scat
 tering diagrams. This in turn allows us to construct new families of curves
  using powerful combinatorial tools from the theory of cluster algebras. \n
X-ALT-DESC;FMTTYPE=text/html:<p>&nbsp;</p><p style="line-height: 1.6667; text-align: justify; margin-top
 : 7px;">Abstract: A central open problem in higher dimensional quantitative
  symplectic geometry is to understand when one ellipsoid can be squeezed in
 to another by a Hamiltonian flow. In principle symplectic field theory (SFT
 ) provides substantial tools for tackling this question, but the SFT of ell
 ipsoids is still not well-understood. In this talk, I will discuss an ongoi
 ng project which applies ideas from log Calabi-Yau mirror symmetry in order
  to understand the SFT of ellipsoids in terms of an algebraic object called
  scattering diagrams. This in turn allows us to construct new families of c
 urves using powerful combinatorial tools from the theory of cluster algebra
 s.&nbsp;</p>
CONTACT:Kyler Siegel (USC)
DTSTAMP:20260830T081634
DTSTART;TZID=America/New_York:20250306T140000
DTEND;TZID=America/New_York:20250306T150000
SEQUENCE:0
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