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Galois Seminar

Friday, April 4, 2014 - 3:15pm

James Sundstrom

University of Pennsylvania

Location

University of Pennsylvania

DRL 4N30

This talk will discuss the paper "Relative regulators of number fields" by Friedman and Skoruppa. The relative regulator Reg(L/K) is essentially Reg(L)/Reg(K). Friedman and Skoruppa proved a lower bound for Reg(L/K) which is exponential in [L:Q]. Their method is to note that a certain relative theta-series in an increasing function, so its derivative is positive. This yields an inequality involving Reg(L/K). Estimating the other terms in this inequality, we obtain a lower bound for Reg(L/K).