Difference between revisions of "Colloquia"

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|January 29 (Monday)
 
|January 29 (Monday)
 
| [http://www.math.columbia.edu/~chaoli/ Li Chao] (Columbia)
 
| [http://www.math.columbia.edu/~chaoli/ Li Chao] (Columbia)
|[[#Li Chao|  Elliptic curves and Goldfeld's conjecture  ]]
+
|[[#January 29 Li Chao (Columbia)|  Elliptic curves and Goldfeld's conjecture  ]]
 
| Jordan Ellenberg
 
| Jordan Ellenberg
 
|
 
|
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== Spring Abstracts ==
 
== Spring Abstracts ==
  
===Li Chao===
 
  
January 29: Li Chao (Columbia)
+
===January 29 Li Chao (Columbia)===
  
 
Title: Elliptic curves and Goldfeld's conjecture
 
Title: Elliptic curves and Goldfeld's conjecture

Revision as of 10:11, 24 January 2018

Mathematics Colloquium

All colloquia are on Fridays at 4:00 pm in Van Vleck B239, unless otherwise indicated.

Spring 2018

date speaker title host(s)
January 29 (Monday) Li Chao (Columbia) Elliptic curves and Goldfeld's conjecture Jordan Ellenberg
February 2 Thomas Fai (Harvard) TBA Spagnolie, Smith
February 9 Wes Pegden (CMU) TBA Roch
March 16 Anne Gelb (Dartmouth) TBA WIMAW
April 4 (Wednesday) John Baez (UC Riverside) TBA Craciun
April 6 Reserved TBA Melanie
April 13 Jill Pipher (Brown) TBA WIMAW
April 25 (Wednesday) Hitoshi Ishii (Waseda University) Wasow lecture TBA Tran
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
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Spring Abstracts

January 29 Li Chao (Columbia)

Title: Elliptic curves and Goldfeld's conjecture

Abstract: An elliptic curve is a plane curve defined by a cubic equation. Determining whether such an equation has infinitely many rational solutions has been a central problem in number theory for centuries, which lead to the celebrated conjecture of Birch and Swinnerton-Dyer. Within a family of elliptic curves (such as the Mordell curve family y^2=x^3-d), a conjecture of Goldfeld further predicts that there should be infinitely many rational solutions exactly half of the time. We will start with a history of this problem, discuss our recent work (with D. Kriz) towards Goldfeld's conjecture and illustrate the key ideas and ingredients behind these new progresses.


Past Colloquia

Blank Colloquia

Fall 2017

Spring 2017

Fall 2016

Spring 2016

Fall 2015

Spring 2015

Fall 2014

Spring 2014

Fall 2013

Spring 2013

Fall 2012