University of Cambridge > Talks.cam > Junior Algebra and Number Theory seminar > Mahler Measure and Weber's Class Number Problem

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Mahler Measure and Weber's Class Number Problem

Download to your calendar using vCal

  • UserJack Lamplugh University of Cambridge
  • ClockFriday 18 October 2013, 15:00-16:00
  • HouseCMS, MR5.

If you have a question about this talk, please contact Julian Brough .

It has been an open problem for over 200 years as to whether there are infinitely many number fields of class number 1. Over 100 years ago, Weber studied the class numbers of the layers of cyclotomic Z_2 extension of the rationals and showed that the first 3 layers have class number one. Recently much progress has been made by Japanese mathematicians indicating that perhaps all layers of all cyclotomic Z_p extensions for all primes p have class number 1. In my talk I will explain these results (and what the cyclotomic Z_p of the rationals is!) and talk about my work in extending this to non-cyclotomic Z_p extensions

This talk is part of the Junior Algebra and Number Theory seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

The talk will be held on Gathertown as part of the Sedgwick Club's annual conference. Please contact jac293@cam.ac.uk for details LT2 Clinical School Seminar Room, McDonald Institute for Archaeology, Downing Site

Other talks

The Neurophenomenology of Surrender: Agency, Renewal, and Social Engagement in Speaking in Tongues Group Work Title TBC Online Causal Inference Semina Emergency Medicine and Metabolic Medicine FILM: One With The Whale
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity