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 +====== Colloquium 2020-2021======
 +
 +Unless stated otherwise, colloquia are scheduled for Thursdays 4:15-5:15pm in WH-100E with refreshments served from 4:00-4:15 pm in WH-102.
 +
 +Organizers: [[people:kargin:start|Vladislav Kargin]], [[people:malkiewich:start]], [[people:anton:start]], 
 +and [[people:adrian:start]]
 +
 +
 +-----
 +
 +
 +==== Spring 2021 ====
 +
 +
 +** A Special Event: ** 
 +Professor Ken Ono (University of Virginia), who is a Phi Beta Kappa Visiting Scholar this year, is  virtually visiting our department on  March 11-12. He will present three lectures via zoom,
 +a Math Club Talk for undergraduate and graduate students with interest in mathematics,
 +a Colloquium Talk for our faculty and graduate students,
 +and a Public Lecture intended for a general audience.
 +Details of these talk are given below.
 +The talks are sponsored by our local Phi Beta Kappa Chapter. 
 +Many thanks to Professor Alex Feingold for organizing this.
 +
 +**Thursday March 11, 2:50-3:50pm, THIS IS THE MATH CLUB TALK [[https://binghamton.zoom.us/j/97188526236|Zoom Link]]**\\  //Speaker//: ** [[ https://uva.theopenscholar.com/ken-on | Ken Ono]] ** (University of Virginia) \\ //Topic//: 
 +What is the Riemann Hypothesis, and why does it matter? \\
 +
 +<WRAP box 90%>
 +//Abstract//: The Riemann hypothesis provides insights into the distribution 
 +of prime numbers, stating that the nontrivial zeros of the Riemann zeta 
 +function have a “real part” of one-half. A proof of the hypothesis would 
 +be world news and fetch a $1 million Millennium Prize. In this lecture, 
 +Ken  Ono will discuss the mathematical meaning of the Riemann hypothesis 
 +and why it matters. Along the way, he will tell tales of mysteries about 
 +prime numbers and highlight new advances.
 +</WRAP>
 +
 +
 +**Thursday March 11, 4:30-5:30pm, THIS IS THE COLLOQUIUM TALK [[https://binghamton.zoom.us/j/91280975572|Zoom Link]]**\\  
 +//Speaker//: ** [[ https://uva.theopenscholar.com/ken-on | Ken Ono]] ** (University of Virginia) \\ 
 +//Topic//: Gauss’ Class Number Problem \\ 
 +
 +<WRAP box 90%>
 +//Abstract//: In 1798 Gauss wrote Disquisitiones Arithmeticae, the first 
 +rigorous text in number theory. This book laid the groundwork for modern 
 +algebraic number theory and arithmetic geometry. Perhaps the most 
 +important contribution in the work is Gauss's theory of integral 
 +quadratic forms, which appears prominently in modern number theory (sums 
 +of squares, Galois theory, rational points on elliptic 
 +curves,L-functions, the Riemann Hypothesis, to name a few). Despite the 
 +plethora of modern developments in the field, Gauss’s first problem 
 +about quadratic forms has not been optimally resolved. Gauss's class 
 +number problem asks for the complete list of quadratic form 
 +discriminants with class number h. The difficulty is in effective 
 +computation, which arises from the fact that the Riemann Hypothesis 
 +remains open. To emphasize the subtlety of this problem, we note that 
 +the first case, where h=1, remained open until the 1970s. Its solution 
 +required deep work of Heegner and Stark, and the Fields medal theory of 
 +Baker on linear forms in logarithms. Unfortunately, these methods do not 
 +generalize to the cases where h>1. In the 1980s, Goldfeld, and Gross and 
 +Zagier famously obtained the first effective class number bounds by 
 +making use of deep results on the Birch and Swinnerton-Dyer Conjecture. 
 +This lecture will tell the story of Gauss’s class number problem, and 
 +will highlight new work by the speaker and Michael Griffin that offers 
 +new effective results by different (and also more elementary) means. \\
 +</WRAP>
 +
 +**Friday March 12, 4:00-5:00pm, THIS IS THE PUBLIC LECTURE **\\  //Speaker//: ** [[ https://uva.theopenscholar.com/ken-on | Ken Ono]] ** (University of Virginia) \\ //Topic//: 
 +Why does Ramanujan, “The Man Who Knew Infinity”, matter?
 +\\ **Since this talk is open to the general public, we require registration in advance for this meeting: 
 +[[https://binghamton.zoom.us/meeting/register/tJMod-isrDooGN03CN34yKnEezYWNrdOrnnX|Use this link to preregister.]]
 +After registering, you will receive a confirmation email containing information about joining the meeting.**
 +\\
 +
 +<WRAP box 90%>
 +//Abstract//: This lecture is about Srinivasa Ramanujan, “The Man Who Knew 
 +Infinity.” Ramanujan was a self-trained two-time college dropout who 
 +left behind 3 notebooks filled with equations that mathematicians are 
 +still trying to figure out today. He claimed that his ideas came to him 
 +as visions from an Indian goddess. This lecture gives many reasons why 
 +Ramanujan matters today. The answers extend far beyond his legacy in 
 +science and mathematics. The speaker was an Associate Producer of the 
 +film “The Man Who Knew Infinity” (starring Dev Patel and Jeremy Irons) 
 +about Ramanujan. He will share several clips from the film in the 
 +lecture, and will also tell stories about the production and promotion 
 +of the film.
 +</WRAP>
 +
 +-----
 +
 +
 +-----
 +
 +
 +Archive:
 +
 +/*  * [[http://www.math.binghamton.edu/dept/colloquia/old.html|1996-2013]] */
 +/*  * [[http://www.math.binghamton.edu/dept/colloquia/index.html|2013-2014]] */
 +  * [[seminars:colloquium:2014_2015|2014-2015]]
 +  * [[seminars:colloquium:y2015_2016|2015-2016]]
 +  * [[seminars:colloquium:y2016_2017|2016-2017]]
 +  * [[seminars:colloquium:y2017-2018|2017-2018]]
 +  * [[seminars:colloquium:y2018-2019|2018-2019]]
 +  * [[seminars:colloquium:y2019-2020|2019-2020]]