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SUMMARY:d-elliptic loci and quasi-modular forms - Carl Lian\, Tufts Univer
 sity.
DTSTART:20250514T131500Z
DTEND:20250514T141500Z
UID:TALK231805@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:Let N_{g\,d} be the locus of curves of genus g admitting a deg
 ree d cover of an elliptic curve. For fixed g\, it is conjectured that the
  classes of N_{g\,d} on M_g are the Fourier coefficients of a cycle-valued
  quasi-modular form in d. A key difficulty is that these classes are often
  non-tautological\, so lie outside the reach of many known techniques. Via
  the Torelli map\, the conjecture can be moved to one on certain Noether-L
 efschetz loci on A_g\, where there is accesss to different tools. I will e
 xplain some evidence for these conjectures\, gathered from results of many
  people\, some of which are joint with François Greer and Naomi Sweeting.
LOCATION:CMS MR13
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