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UID:f152547030caf311db76ba60a330940f
CATEGORIES:Symplectic Geometry Seminar
CREATED:20231025T071230
SUMMARY:Dubronvin dynamics
LOCATION:Hill 705
DESCRIPTION:<p dir="ltr" class="zfr3Q CDt4Ke" style="margin: 12px 0px 0px 15pt; outline
 : none; position: relative; color: #212121; font-size: 11pt; font-style: no
 rmal; font-weight: 400; font-family: Lato, sans-serif; line-height: 1.6667;
  letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0pt; t
 ext-transform: none; widows: 2; word-spacing: 0px; white-space: normal; pad
 ding-left: 0pt;"><span class="C9DxTc" style="font-family: Lato, Arial; font
 -weight: bold;">Title:&nbsp;</span><span class="C9DxTc">Dubronvin dynamics<
 /span></p><p dir="ltr" class="zfr3Q CDt4Ke" style="margin: 12px 0px 0px 15p
 t; outline: none; position: relative; color: #212121; font-size: 11pt; font
 -style: normal; font-weight: 400; font-family: Lato, sans-serif; line-heigh
 t: 1.6667; letter-spacing: normal; orphans: 2; text-align: start; text-inde
 nt: 0pt; text-transform: none; widows: 2; word-spacing: 0px; white-space: n
 ormal; padding-left: 0pt;"><span class="C9DxTc" style="font-family: Lato, A
 rial; font-weight: bold;">Abstract:&nbsp;</span><span class="C9DxTc" style=
 "color: #222222;">The cohomology ring of a compact symplectic manifold can 
 be deformed by counting pseudo-holomorphic spheres, and this categorifies b
 y considering disks. I will raise a question, make a proposal, do a calcula
 tion, and prove a theorem. Question: why do we focus on certain points in t
 he space of deformations? Proposal: study cohomological/categorical propert
 ies that hold for generic deformation parameters. Calculation: the eigenval
 ues of Dubrovin’s operator are distinct for all parameters of P^2, and coal
 esce for non-generic parameters of Gr(2,4). Theorem: the Dubrovin spectrum 
 contains the curvatures of nontrivial objects in the Fukaya category.</span
 ></p>
CONTACT:Marco Castronovo (Columbia)
DTSTAMP:20260828T015310
DTSTART;TZID=America/New_York:20231026T133000
DTEND;TZID=America/New_York:20231026T143000
SEQUENCE:0
TRANSP:OPAQUE
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