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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Modular linear differential operators and their cl
assification - Don Zagier (Max-Planck-Institut für
Mathematik\, Bonn)
DTSTART;TZID=Europe/London:20220822T100000
DTEND;TZID=Europe/London:20220822T110000
UID:TALK177188AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/177188
DESCRIPTION:Modular linear differential equations (MLDEs) have
arisen in several different \;contexts in mat
hematics and mathematical physics in recent years.
\;Perhapsthe first example\, which will be d
escribed briefly\, was the second-order LDE \;
\; \; \; f"(z) - (k+1)/6 E_2(z) f'(
z) + k(k+1)/12 E_2'(z) f(z) = 0 \;that arose i
n work of Kaneko and myself on supersingular j-inv
ariants incharacteristi p\, but more recently they
have become important in thetheory of vertex oper
ator algebras\, where they often give non-trivial&
nbsp\;information about the properties (or sometim
es non-existence) of VOAsof given type and given c
entral charge. \;The talk will describe recen
t jointwork with K. Nagatomo and Y. Sakai giving d
escriptions of all MLDOs (forthe full modular grou
p and other lattices in SL(2\,R) ) in terms of Ran
kin-Cohen brackets and in terms of quasimodular fo
rms. \;All notions\, includingthe definitions
of modular and quasimodular forms\, will be revie
wed.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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