How often does a polynomial take squarefree values? by Manjul Bhargava
1,252 views · Published 16 January 2018 · 31:37 · Indexed 27 September 2026
Channel: International Centre for Theoretical Sciences · 2018 · Science & Technology
ICTS at Ten ORGANIZERS: Rajesh Gopakumar and Spenta R. Wadia DATE: 04 January 2018 to 06 January 2018 VENUE: International Centre for Theoretical Sciences, Bengaluru This is the tenth year of ICTS-TIFR since it came into existence on 2nd August 2007. ICTS has now grown to have more than fifteen faculty in a number of areas in the theoretical sciences. Over 150 programs and discussion meetings have been held. The ICTS at Ten event is an opportunity to reflect on the journey thus far, and to go ahead with renewed energy into our second decade, through a small celebratory scientific gathering. There will be broad perspective talks (of 30 minutes each) across several different themes in the theoretical sciences: Astrophysics and Cosmology String theory and Quantum Gravity Mathematics Theoretical Computer Science Condensed Matter and Statistical Physics Physical Biology These reflect ICTS' present profile as well as the directions we would like to grow into in the coming years. The talks, by a galaxy of distinguished researchers, will give a broad perspective on some exciting frontier questions in these areas. CONTACT US: [email protected] PROGRAM LINK: https://www.icts.res.in/discussion-meeting/icts-at-ten Table of Contents (powered by https://videoken.com) 0:00:00 ICTS at Ten 0:00:08 How often does a polynomial take squarefree values? 0:00:28 Happy Birthday ICTS! 0:01:07 Squarefree numbers 0:05:36 Scientific Method: Does the theoretical result agree with experiment? 0:07:22 Why 6/pie2? Here is a heuristic explanation: 0:13:30 Actual proof? 0:15:37 Natural next question: Squarefree values of polynomials 0:19:05 What is known? 0:23:57 Squarefree values of polynomial discriminants without ABC 0:25:54 Squarefree values of discriminant polynomials 0:27:22 Q&A
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