比利时vs摩洛哥足彩
,
university of california san diego
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math 209: number theory seminar
jon aycock
uc san diego
jacobians of graphs via edges and iwasawa theory
abstract:
the jacobian (or sandpile group) is an algebraic invariant of a graph that plays a similar role to the class group in classical number theory. there are multiple recent results controlling the sizes of these groups in galois towers of graphs that mimic the classical results in iwasawa theory, though the connection to the values of the ihara zeta function often requires some adjustment. in this talk we will give a new way to view the jacobian of a graph that more directly centers the edges of the graph, construct a module over the relevant iwasawa algebra that nearly corresponds to the interpolated zeta function, and discuss where the discrepancy comes from.
october 16, 2024
4:00 pm
apm 7321 and online (see //www.ladysinger.com/~nts
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