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BEGIN:VEVENT
UID:f075c955b1bb8733fc074ffc58de2d6d
CATEGORIES:Gauge Theory Learning Seminar
CREATED:20260419T102034
SUMMARY:ALG(*) Gravitational Instantons vs. 4d Hitchin moduli spaces 
LOCATION:Hill 705 and Zoom
DESCRIPTION:Abstract: Gravitational instantons are defined as non-compact non-flat comp
 lete hyperkahler 4-manifolds with L^2 curvature decay.  They have been rece
 ntly classified and all arise as bubbling limits of K3 surfaces.  The Modul
 arity Conjecture posits that any gravitational instantons arises as the mod
 uli space of  gauge-theoretic equations.  In this talk, I’ll focus on a spe
 cial kind of gravitational instanton:  ALG-D_4 gravitational instantons. Th
 ese can be conjecturally realized as moduli spaces of Hitchin’s equations, 
 a system of gauge-theoretic equations on a Riemann surface that are recogni
 zed as a central object in mathematics. In joint work https://arxiv.org/abs
 /2603.17020. Click or tap if you trust this link.">2603.17020 and ongoin
 g work with Rafe Mazzeo, Jan Swoboda, and Hartmut Weiss, we prove the modul
 arity conjecture in this case.\n
X-ALT-DESC;FMTTYPE=text/html:<p><span data-olk-copy-source="MessageBody" style="font-size: 13px; font-fa
 mily: Helvetica Neue;">Abstract: Gravitational instantons are defined as no
 n-compact non-flat complete hyperkahler 4-manifolds with L^2 curvature deca
 y.&nbsp; They have been recently classified and all arise as bubbling limit
 s of K3 surfaces.&nbsp; The Modularity Conjecture posits that any gravitati
 onal instantons arises as the moduli space of&nbsp; gauge-theoretic equatio
 ns.&nbsp; In this talk, I’ll focus on a special kind of gravitational insta
 nton: &nbsp;ALG-D_4 gravitational instantons. These can be conjecturally re
 alized as moduli spaces of Hitchin’s equations, a system of gauge-theoretic
  equations on a Riemann surface that are recognized as a central object in 
 mathematics. In joint work <a href="https://nam02.safelinks.protection.outl
 ook.com/?url=https%3A%2F%2Farxiv.org%2Fabs%2F2603.17020&amp;data=05%7C02%7C
 ia368%40math.rutgers.edu%7C33e4c558e4d949b4f6b208de9e4bbecd%7Cb92d2b234d354
 47093ff69aca6632ffe%7C1%7C0%7C639122245332030254%7CUnknown%7CTWFpbGZsb3d8ey
 JFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsI
 ldUIjoyfQ%3D%3D%7C0%7C%7C%7C&amp;sdata=P9ST%2BZdKk4QmFCGiA3woQ7Jamgk%2Fdvs4
 V4Id2Yk8UvA%3D&amp;reserved=0" target="_blank" rel="noopener noreferrer" da
 ta-auth="NotApplicable" originalsrc="https://arxiv.org/abs/2603.17020" data
 -outlook-id="9b3a2ae3-320c-4793-b349-38746c19e95c" data-linkindex="0" title
 ="Original URL: &lt;a href="https://www.math.rutgers.edu/ https:="" arxiv.o
 rg="" abs="" 2603.17020."="" style="margin-top: 0px; margin-bottom: 0px;">h
 ttps://arxiv.org/abs/2603.17020.</a> Click or tap if you trust this link."&
 gt;2603.17020&nbsp;and ongoing work with Rafe Mazzeo, Jan Swoboda, and Hart
 mut Weiss, we prove the modularity conjecture in this case.</span></p>
CONTACT:Laura Fredricson (University of Oregon)
DTSTAMP:20260827T051726
DTSTART;TZID=America/New_York:20260421T110000
DTEND;TZID=America/New_York:20260421T120000
SEQUENCE:0
TRANSP:OPAQUE
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