Department of Mathematics and Computer Science
Number Theory and Combinatorics Seminar
Spring 2023
For more information, contact Félix Baril Boudreau <felix.barilboudreau@uleth.ca>.
Talks are usually at noon on Monday in room M1040 (Markin Hall). All times are Mountain Time.
The live access zoom link is available here and on researchseminars.org, and is also sent to our mailing list.
 
                  The next talk:

Feb 6
at noon
via zoom
Cristhian Garay
(CIMAT Guanajuato, Mexico)
Generalized valuations and idempotization of schemes
Classical valuation theory has proved to be a valuable tool in number theory, algebraic geometry and singularity theory. For example, one can enrich spectra of rings with new points coming from valuations defined on them and taking values in totally ordered abelian groups.

Totally ordered groups are examples of idempotent semirings, and generalized valuations appear when we replace totally ordered abelian groups with more general idempotent semirings. An important example of idempotent semiring is the tropical semifield.

As an application of this set of ideas, we show how to associate an idempotent version of the structure sheaf of a scheme, which behaves particularly well with respect to idempotization of closed subschemes.

This is a joint work with Félix Baril Boudreau.
 
Click on any title for more info, including the abstract. Then click on it again to hide the info.
When available, click on the mathtube icon     to access a videorecording of the talk.

Date Speaker Title

Jan 9 Youness Lamzouri A walk on Legendre paths
(Institut Élie Cartan de Lorraine, France)
PIMS Distinguished Speaker Series

Jan 16 Neelam Kandhil On linear independence of Dirichlet L-values
at 9:30am
via zoom
(Institute of Mathematical Sciences, Chennai, India)

Jan 23 Antonella Perucca Recent advances in Kummer theory
at 9:30am
via zoom
(University of Luxembourg)

Jan 30 Oussama Hamza Filtrations, arithmetic and explicit examples in an equivariant context
via zoom (University of Western Ontario)

Feb 6 Cristhian Garay Generalized valuations and idempotization of schemes
(CIMAT Guanajuato, Mexico)

Feb 6 Cristhian Garay An invitation to the algebraic geometry over idempotent semirings
3:10–4:45pm
in B716
(CIMAT Guanajuato, Mexico) Minicourse, Lecture 1
The minicourse will also be streamed online. To attend (one or both sessions) via zoom, register at:
https://uleth.zoom.us/meeting/register/tJYuc-uqrz4pE93dDYPcP3Ek7CbrJCFISazV

Feb 9 Cristhian Garay An invitation to the algebraic geometry over idempotent semirings
3:10–4:45pm
in B716
(CIMAT Guanajuato, Mexico) Minicourse, Lecture 2
The minicourse will also be streamed online. To attend (one or both sessions) via zoom, register at:
https://uleth.zoom.us/meeting/register/tJYuc-uqrz4pE93dDYPcP3Ek7CbrJCFISazV

Feb 13 Speaker TBA Title TBA

Feb 27 Florent Jouve Title TBA
at 9:30am
via zoom
(Université de Bordeaux, France)

Mar 6 John Voight Title TBA
at noon
via zoom
(Dartmouth College, USA)

Mar 13 Renate Scheidler Title TBA
(University of Calgary)

Mar 20 Joshua Males Title TBA
(University of Manitoba)

Mar 27 Douglas Ulmer Title TBA
(University of Arizona)

Apr 3 Harald Andrés Helfgott Title TBA
at time tba
via zoom
(University of Göttingen, Germany, and Institut de Mathématiques de Jussieu, France)

 
Past semesters: Fall F07 F08 F09 F10 F11 F12 F13 F14 F15 F16 F17 F18 F19 F20 F21 F22
Spring S08 S09 S10 S12 S13 S14 S15 S16 S17 S18 S19 S20 S21 S22
Click here for a PDF file of abstracts of all talks back to 2007 (approx 440K).