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Number Theory Seminar

Counting sublattices -- Gautam Chinta, CCNY

Gautam Chinta, CCNY

Location:  Hill 701
Date & time: Wednesday, 28 June 2017 at 1:40PM - 2:40PM

 

Abstract: We discuss the problem of computing the density of sublattices 
L of Z^d which have the property that the quotient of Z^d by L has m 
invariant factors, for fixed m. We find that these densities follow a 
Cohen-Lenstra distribution.  Our main tool is a generalization of the 
subgroup growth zeta function of Z^d originally introduced by V. 
Petrogradsky.  This is a joint work with N. Kaplan and S. Koplewitz.

 

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Department of Mathematics

Department of Mathematics
Rutgers University
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