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SUMMARY:Robin Zhang (MIT)
DTSTART:20231121T210000Z
DTEND:20231121T220000Z
DTSTAMP:20260423T010139Z
UID:UAANTS/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/69/">
 Harris–Venkatesh plus Stark</a>\nby Robin Zhang (MIT) as part of Univers
 ity of Arizona Algebra and Number Theory Seminar\n\nLecture held in ENR2 S
 395.\n\nAbstract\nThe class number formula describes the behavior of the D
 edekind zeta function at $s = 0$ and $s = 1$. The Stark and Gross conjectu
 res extend the class number formula\, describing the behavior of Artin $L$
 -functions and $p$-adic $L$-functions at $s = 0$ and $s = 1$ in terms of u
 nits. The Harris–Venkatesh conjecture describes the residue of Stark uni
 ts modulo $p$\, giving a modular analogue to the Stark and Gross conjectur
 es while also serving as the first verifiable part of the broader conjectu
 res of Venkatesh\, Prasanna\, and Galatius. In this talk\, I will draw an 
 introductory picture\, formulate a unified conjecture combining Harris–V
 enkatesh and Stark for weight one modular forms\, and describe the proof o
 f this in the imaginary dihedral case.\n
LOCATION:https://researchseminars.org/talk/UAANTS/69/
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