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SUMMARY:A.V. Jayanthan (IIT Madras\, Chennai\, India)
DTSTART:20230120T120000Z
DTEND:20230120T130000Z
DTSTAMP:20260423T021035Z
UID:VCAS/158
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/158/">O
 n the resurgence and asymptotic resurgence of homogeneous ideals</a>\nby A
 .V. Jayanthan (IIT Madras\, Chennai\, India) as part of IIT Bombay Virtual
  Commutative Algebra Seminar\n\n\nAbstract\nLet $k$ be a field and $R = k[
 x_1\, \\ldots\, x_n]$. We obtain an improved upper bound for asymptotic re
 surgence of squarefree monomial ideals in $R$. We study the effect on the 
 resurgence when sum\, product and intersection of ideals are taken. We obt
 ain sharp upper and lower bounds for the resurgence and asymptotic resurge
 nce of cover ideals of finite simple graphs in terms of associated combina
 torial invariants. We also explicitly compute the resurgence and asymptoti
 c resurgence of cover ideals of several classes of graphs. We characterize
  a graph being bipartite in terms of the resurgence and asymptotic resurge
 nce of edge and cover ideals. We also compute explicitly the resurgence an
 d asymptotic resurgence of edge ideals of some classes of graphs.\n
LOCATION:https://researchseminars.org/talk/VCAS/158/
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