Department of

# Mathematics

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

.
events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
      April 2015              May 2015              June 2015
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3  4                   1  2       1  2  3  4  5  6
5  6  7  8  9 10 11    3  4  5  6  7  8  9    7  8  9 10 11 12 13
12 13 14 15 16 17 18   10 11 12 13 14 15 16   14 15 16 17 18 19 20
19 20 21 22 23 24 25   17 18 19 20 21 22 23   21 22 23 24 25 26 27
26 27 28 29 30         24 25 26 27 28 29 30   28 29 30
31


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