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Philadelphia Area Number Theory Seminar

Wednesday, April 24, 2019 - 2:15pm

Karen Taylor

Bronx Community College, CUNY


Bryn Mawr College

Park Science Building, Room 328

Talk is scheduled to begin at 2:40 PM. Tea and refreshments will be served at 2:20 PM in the Math Lounge, Park Science Building, Room 361.

Duke introduce the groups G(A) which naturally correspond to an ideal class, A, of a real quadratic field. These groups generalize the Hecke groups G(λ), λ > 2. In this talk, I will describe two problems, which have been solved for the Hecke groups , which I am currently working on generalizing. One problem, solved by Rosen, is the description of the elements of G(λ) by continued fractions. The other is Knopp and Sheingorn’s construction of modular integrals on G(λ) with prescribed log-polymomial periods.