 |
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| Department of Mathematics and Computer Science | |
| Number Theory and Combinatorics Seminar | |
| Fall 2022 | |
| For more information,
contact
Félix Baril Boudreau
<felix.barilboudreau@uleth.ca>
or Bobby Miraftab <Bobby.Miraftab@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 also sent to our mailing list. |
| The next talk: | |||
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Sep 26
at noon in M1040 
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Dang-Khoa Nguyen
(University of Calgary) |
Height gaps for coefficients of D-finite power series
A power series $f(x_1,\ldots,x_m)\in \mathbb{C}[[x_1,\ldots,x_m]]$ is said to be D-finite if all the partial derivatives of $f$ span a finite dimensional vector space over the field $\mathbb{C}(x_1,\ldots,x_m)$. For the univariate series $f(x)=\sum a_nx^n$, this is equivalent to the condition that the sequence $(a_n)$ is P-recursive meaning a non-trivial linear recurrence relation of the form: $$P_d(n)a_{n+d}+\cdots+P_0(n)a_n=0$$ where the $P_i$'s are polynomials. In this talk, we consider D-finite power series with algebraic coefficients and discuss the growth of the Weil height of these coefficients. This is from a joint work with Jason Bell and Umberto Zannier in 2019 and a more recent work in June 2022. |
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| 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.
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| Date | Speaker | Title | |
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| Sep 12 | everyone | Organizational meeting and problem session | |
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| no seminar on September 19 (University Holiday) | |||
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| Sep 26 | Dang-Khoa Nguyen | Height gaps for coefficients of D-finite power series | |
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(University of Calgary) | ||
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| Oct 3 | Debanjana Kundu | Title TBA | |
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(University of British Columbia) | ||
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| no seminar on October 10 (Thanksgiving) | |||
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| Oct 17 | Elchin Hasanalizade | Title TBA | |
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| Oct 24 | Speaker TBA | Title TBA | |
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| Oct 31 | Hugo Chapdelaine | Title TBA | |
| via zoom | (Université Laval) | ||
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| no seminar on November 7 (Reading Week) | |||
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| Nov 14 | Julie Desjardins | Title TBA | |
| via zoom | (University of Toronto) | ||
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| Nov 21 | Solaleh Bolvardizadeh | Title TBA | |
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| Nov 28 | Mathieu Dutour | Title TBA | |
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(University of Alberta) | ||
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| Dec 5 | Alexandra Florea | Title TBA | |
| via zoom | (University of California - Irvine) | ||
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| Past semesters: | Fall | F2007 | F2008 | F2009 | F2010 | F2011 | F2012 | F2013 | F2014 | F2015 | F2016 | F2017 | F2018 | F2019 | F2020 | F2021 |
| Spring | S2008 | S2009 | S2010 | S2012 | S2013 | S2014 | S2015 | S2016 | S2017 | S2018 | S2019 | S2020 | S2021 | S2022 |
| Click here for a PDF file of abstracts of all talks back to 2007 (approx 425K). |