NTS ABSTRACTSpring2023: Difference between revisions
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Asvin Gothandaraman''' | | bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Asvin Gothandaraman''' | ||
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| bgcolor="#BCD2EE" align="center" | A p-adic Chebotarev density theorem | | bgcolor="#BCD2EE" align="center" | A p-adic Chebotarev density theorem and functional equation | ||
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| bgcolor="#BCD2EE" | | | bgcolor="#BCD2EE" | | ||
Revision as of 16:41, 6 February 2023
Feb 02
| Asvin Gothandaraman |
| A p-adic Chebotarev density theorem and functional equation |
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We (Asvin G, Yifan Wei and John Yin) define a notion of splitting density for "nice" generically finite maps over p-adic fields and show that these densities satisfy a functional equation. As a consequence, we prove a conjecture about factorization probabilities of Bhargava, Cremona, Fisher, Gajovic.
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Feb 09
| MSRI/SLMath workshop |
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NTS of the week is cancelled as most of the number theory group are attending the MSRI/SLMath introductory workshop on Diophantine geometry, see https://www.msri.org/workshops/977 |