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UID:2c54101148a3d2514740bb660d5bb1d4
CATEGORIES:Symplectic Geometry Seminar
CREATED:20250303T153334
SUMMARY:Ellipsoids and scattering diagrams
LOCATION:Hill 705
DESCRIPTION:<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:20260927T101719
DTSTART;TZID=America/New_York:20250306T140000
DTEND;TZID=America/New_York:20250306T150000
SEQUENCE:0
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