Category Archives: Colloquium

IMAG0125

Calendar history

UH Manoa Math Department Colloquia and Distinguished lectures For information about seminars see the seminar page 
Spring 2025
 
TBD  Jordan Ellenberg (U. Wisconsin- Madison)  TBD Distinguished lecture series 
Fall 2024
 
  12/13 3:30-4:30  Keller 302   Marta Pavelka From graphs to complexes
  11/21 3:30-4:30  Keller 302 Kevin Schreve (Louisiana State University) Homology growth and cubulated manifolds
  11/15 Herman Servatius (Worcester Polytechnic Institute)  Rigidity and movability of configurations in the projective plane.
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  - Tuesday April 23rd, 5:30pm.  Public lecture accessible to anyonemathematically curious. - Thursday April 25th, 3:30pm.  Colloquium accessible to math majors. - Friday April 36th, 3:30pm.  Seminar accessible to advanced math majors. Benson Farb (U. Chicago)  Distinguished lecture series 
    Jump into our Google Calendar to browse colloquia and other events recorded in a specific year. (A couple of notable events are indicated in parentheses.)

Number Theory Seminars 2/24

eisenstein - 1Visiting mathematicians from UC San Diego, Alina Bucur and Kiran Kedlaya, will give two number theory talks on Thursday, February 24 in Keller 301.

Schedule:
3-3:45 PM Kiran Kedlaya
The relative class number one problem for function fieldsAbstract: Gauss conjectured that there are nine imaginary quadratic fields of class number 1; this was resolved in the 20th century by work of Baker, Heegner, and Stark. In between, Artin had introduced the analogy between number fields and function fields, the latter being finite extensions of the field of rational functions over a finite field. In this realm, the class number 1 problem admits multiple analogues; we recall some of these, one of which was “resolved” in 1975 and then falsified (and corrected) in 2014, and another one of which is a brand-new theorem in which computer calculations (in SageMath and Magma) play a pivotal role.

 

3:45-4:15 PM
Q&A, break, refreshments

4:15-5 PM Alina Bucur
Counting points on curves over finite fields

Abstract: A curve is a one dimensional space cut out by polynomial equations. In particular, one can consider curves over finite fields, which means the polynomial equations should have coefficients in some finite field and that points on the curve are given by values of the variables in the finite field that satisfy the given polynomials. A basic question is how many points such a curve has, and for a family of curves one can study the distribution of this statistic. We will give concrete examples of families in which this distribution is known or predicted, and give a sense of the different kinds of mathematics that are used to study different families. This is joint work with Chantal David, Brooke Feigon, Kiran S. Kedlaya, and Matilde Lalin.