Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, May 6, 2015.

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Wednesday, May 6, 2015

1:00 pm in 343 Altgeld Hall,Wednesday, May 6, 2015

Lengths of Binary Forms

Neriman Tokcan (UIUC Mathematics)

Abstract: The $K$-length of a form $f$ of degree $d$, $K \subseteq \mathbb{C}$, is the smallest number of $d$-th powers of linear forms of which $f$ is a $K$-linear combination. If $\mathbb{R}$-length of $f$ is d, then we say that $f$ has full length over $\mathbb{R}$. In this talk, we will show that a real binary quintic form $f$ has full length over $\mathbb{R}$ if and only if $f$ splits over $\mathbb{R}$. We will also give examples of binary forms with 3 different lengths over the subfields of $\mathbb{C}$.

4:00 pm in 245 Altgeld Hall,Wednesday, May 6, 2015

Computer Animation and Mathematical Visualization

George Francis (Department of Mathematics, University of Illinois at Urbana-Champaign)

Abstract: We present the geometrical principles of real-time interactive computer animation (RTICA) for mathematical visualization as it is practiced in the classroom, research seminar, and webpages but also in immersive virtual environments from head-mounted displays (Oculus Rift) to the CAVE at the Illinois Simulator Lab (ISL) of the Beckman Institute. Read more at http://new.math.uiuc.edu/595index.html