Seminar Details
Combinatorics of Quadratic Spaces over Finite Fields
- Start Date: April 15, 2020
- Event Start Time: 1:00 PM
- Event End Time: 2:00 PM
- Seminar Series: Graduate Combinatorics Seminar
- Presenter(s): Semin Yoo - University of Rochester
- Event Location: Online Event
- Event Additional Info: <p><strong>SPECIAL NOTE: This seminar is presented online only.</strong></p> <p><strong>You can join via ZOOM with Meeting ID: 268 276 468 or by clicking this link <a href="https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.google.com%2Furl%3Fq%3Dhttps%253A%252F%252Fbrown.zoom.us%252Fj%252F268276468%26sa%3DD%26sntz%3D1%26usg%3DAFQjCNFYXnnZZUuFfe2BnuubGw9k-0vxrQ&data=02%7C01%7Clindac%40dimacs.rutgers.edu%7C4ad593d020e04dbc204f08d7da3046bd%7Cb92d2b234d35447093ff69aca6632ffe%7C1%7C0%7C637217773197229520&sdata=At9drfT1SFLJTDjwBLaoJsIicKaiSAFC7YlyPWIMTJs%3D&reserved=0" target="_blank">https://brown.zoom.us/j/268276468</a></strong></p> <p>For further information see: <a href="https://sites.google.com/view/gocc-combinatorics/home">https://sites.google.com/view/gocc-combinatorics/home</a></p>
- Presentation Type: Stand Alone Presentation
- Abstract:
Theq-binomial coefficient(nk)q(or the Gaussian binomial coefficient) is a polynomial inq, whereqis a prime power. It can be described combinatorially in several ways. For example, it counts thenumber ofk-dimensional subspaces ofFnqoverFq. In this talk, we add one more bit of structurecalled a quadratic form onFnq, and discuss combinatorial structures coming from quadratic spacesover finite fields in comparison with theq-binomial coefficients.
This talk is based on work from: https://arxiv.org/abs/1910.03482.