BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Discrete Mathematics Group - ECPv6.15.20//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Discrete Mathematics Group
X-ORIGINAL-URL:https://dimag.ibs.re.kr
X-WR-CALDESC:Events for Discrete Mathematics Group
REFRESH-INTERVAL;VALUE=DURATION:PT1H
X-Robots-Tag:noindex
X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:Asia/Seoul
BEGIN:STANDARD
TZOFFSETFROM:+0900
TZOFFSETTO:+0900
TZNAME:KST
DTSTART:20200101T000000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210720T163000
DTEND;TZID=Asia/Seoul:20210720T173000
DTSTAMP:20260424T131320
CREATED:20210601T234138Z
LAST-MODIFIED:20240707T081226Z
UID:4190-1626798600-1626802200@dimag.ibs.re.kr
SUMMARY:Semin Yoo (유세민)\, Combinatorics of Euclidean spaces over finite fields
DESCRIPTION:$q$-analogues of quantities in mathematics involve perturbations of classical quantities using the parameter $q$\, and revert to the original quantities when $q$ goes $1$. An important example is the $q$-analogues of binomial coefficients\, denoted by $\binom{n}{k}_{q}$\, which give the number of $k$-dimensional subspaces in $\mathbb{F}_{q}^{n}$. When $q$ goes to $1$\, this reverts to the binomial coefficients which measure the number of $k$-sets in $\left [ n \right ]$. \nIn this talk\, we add one more structure in $\mathbb{F}_{q}^{n}$\, which is the Euclidean quadratic form: $\text{dot}_{n}:=x_{1}^{2}+x_{2}^{2}+\cdots+x_{n}^{2}$. It turns out that the number of quadratic subspaces of Euclidean type in $(\mathbb{F}_{q}^{n}\,\text{dot}_{n})$ can be described as the form of the analogue of binomial coefficients. The main goal of this talk is to define the dot-analogues of the binomial coefficients and to study related combinatorics. No prior knowledge about the theory of quadratic form is required.
URL:https://dimag.ibs.re.kr/event/2021-07-20/
LOCATION:Room B232\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
END:VEVENT
END:VCALENDAR