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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260603T153000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-50
SUMMARY:Geometry and Topology Seminar
CLASS:PUBLIC
DESCRIPTION:RAGINI SINGHAL\, UNIVERSITY OF MÜNSTER\n\n_Solutions and sing
 ularities of the Ricci-harmonic flow and Ricci-like\nflows of G2-structure
 s_\n\nWe find explicit solutions and singularities of the Ricci-harmonic\n
 flow of $G_2$-structures on 7-dimensionalcontact Calabi-Yau manifolds\nand
  the 7-dimensional Heisenberg group. We prove that the natural\nco-closed$
 G_2$-structure on a contact Calabi-Yau manifold as the\ninitial condition 
 leads to an ancient solution of the Ricci-harmonic\nflow with a finite tim
 e Type I singularity. These are the first\nexamples of Type I singularitie
 s of the Ricci-harmonic flow. We also\nobtain similar (but different) resu
 lts for the Ricci-like flows of\n$G_2$-structures studied by Gianniotis--Z
 acharopoulos in\narXiv:2505.06872 (J. Geom. Anal. 36.2 (2026)) and of the 
 negative\ngradient flow of an energy functional of $G_2$-structures studie
 d by\nWeiss--Witt. The talk is based on a joint work with Shubham Dwivedi\
 n(Hamburg).\n\nMC 5417
DTSTAMP:20260529T174145Z
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