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SUMMARY:Mohit Hulse (MIT)
DTSTART:20250220T220000Z
DTEND:20250220T233000Z
DTSTAMP:20260422T220726Z
UID:STAGE/124
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/124/">
 Period maps and the Gauss-Manin connection</a>\nby Mohit Hulse (MIT) as pa
 rt of STAGE\n\nLecture held in Room 2-449 in the MIT Simons Building.\n\nA
 bstract\nFor a family of smooth projective varieties over a number field\,
  we have a complex period map and a $p$-adic period map\, and they are bot
 h governed by the (algebraic) Gauss-Manin connection. After some prelimina
 ries\, we introduce these objects and prove some bounds on the dimensions 
 of their images.\n\nReference:\n\n$\\bullet$ <a href="https://link.springe
 r.com/article/10.1007/s00222-020-00966-7">Lawrence and Venkatesh\, Diophan
 tine problems and $p$-adic period mappings</a>\, Section 3.\n\nFor more de
 tails:\n\n$\\bullet$ <a href="https://link.springer.com/chapter/10.1007/97
 8-3-540-38955-2_3">Deligne\, Hodge cycles on abelian varieties</a>\, Secti
 on 2 (for Gauss-Manin connection).\n\n$\\bullet$ <a href="https://doi.org/
 10.1215/kjm/1250524135">Katz and Oda\, On the differentiation of De Rham c
 ohomology classes with respect to parameters</a>\n\n$\\bullet$ <a href="ht
 tps://www.cambridge.org/core/books/hodge-theory-and-complex-algebraic-geom
 etry-i/A6E52939BA107FFCB5A901D5B5D88025">Voisin\, Hodge Theory and Complex
  Algebraic Geometry I</a>\, Part III.\n\n$\\bullet$ <a href="https://link.
 springer.com/book/10.1007/978-0-8176-4523-6"> Hotta\, Takeuchi and Tanisak
 i\, D-Modules\, Perverse Sheaves\, and Representation Theory </a> (for mor
 e on Riemann-Hilbert).\n
LOCATION:https://researchseminars.org/talk/STAGE/124/
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