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CATEGORIES:Lectures & Guest Speakers
DESCRIPTION:Speaker: Dr. Michael Griffin\, Kennesaw State University\nTitle
 : “Hecke-towers and modular product formulas”\nAbstract: There are three im
 portant product formulas for expressions of the type $\prod (j(\sigma) − j(
 z) ) . Here j is the modular j-invariant which distinguishes isomorphism cl
 asses of elliptic curves and generates the field of modular functions for S
 L2(Z)\, and z and $\sigma$ are each either complex variables or run over a 
 complete set of representatives of classes of imaginary quadratic numbers o
 f fixed discriminant. These three identities are: \n\n1) The denominator fo
 rmula for the Monster Lie-algebra\, \n\n2) Borcherd’s product formulas for 
 the Hilbert class functions\, \n\n3) The Gross–Zagier formula for norms of 
 singular moduli. \n\nBorcherds notes that\, despite the similarity of the “
 left hand sides” of these identities\, their proofs are wildly different\, 
 and “there does not seem to be any obvious way to deduce any of these 3 for
 mulas from the others.” Motivated by this statement\, we will show how thes
 e three identities can be derived from a cohesive theory\, each identity bu
 ilding from the previous\, and rooted in the algebraic structure of spaces 
 of modular objects.\n\n \n\n \n\nThe Discrete Math Seminar (DMS) is intende
 d for Kennesaw State faculty working in the various areas of algebra\, numb
 er theory\, and discrete mathematics to get together to discuss their curre
 nt work or related questions. Seminars often involve advanced mathematical 
 knowledge. However\, the seminars are open to anyone interested in attendin
 g.\n\n \n\nStream URL
DTEND:20250917T192000Z
DTSTAMP:20260510T060027Z
DTSTART:20250917T183000Z
GEO:33.935805;-84.519573
LOCATION:Mathematics Building\, D 250
SEQUENCE:0
SUMMARY:Discrete Mathematics Seminar (DMS)
UID:tag:localist.com\,2008:EventInstance_50699833649123
URL:https://calendar.kennesaw.edu/event/discrete-mathematics-seminar-091725
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