Department of

Mathematics


Seminar Calendar
for events the day of Monday, February 9, 2015.

     .
events for the
events containing  

(Requires a password.)
More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
     January 2015          February 2015            March 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    1  2  3  4  5  6  7    1  2  3  4  5  6  7
  4  5  6  7  8  9 10    8  9 10 11 12 13 14    8  9 10 11 12 13 14
 11 12 13 14 15 16 17   15 16 17 18 19 20 21   15 16 17 18 19 20 21
 18 19 20 21 22 23 24   22 23 24 25 26 27 28   22 23 24 25 26 27 28
 25 26 27 28 29 30 31                          29 30 31            
                                                                   

Monday, February 9, 2015

12:00 pm in 341 AH,Monday, February 9, 2015

Symplectic non-squeezing in Hilbert space

Alex Tumanov (UIUC Math)

Abstract: The celebrated Gromov's non-squeezing theorem of 1985 says that the unit ball $B^{2n}$ in $R^{2n}$ can be symplectically embedded in the "cylinder" $rB^2 \times R^{2n-2}$ of radius $r$ only if $r\ge 1$. I present a generalization of this theorem for Hilbert space. The result can be applied to symplectic flows of Hamiltonian PDEs. This work is joint with Alexander Sukhov.

4:00 pm in 145 Altgeld Hall,Monday, February 9, 2015

The Quot scheme and representability of moduli problems

Matej Penciak   [email] (UIUC Math)

Abstract: This is the first of two talks in which I will describe the Quot scheme--a scheme that represents a general moduli problem of quotients of a fixed coherent sheaf. The generality of the Quot scheme makes it an important stepping stone in proving the representability of moduli problems arising in algebraic geometry. In this talk I will begin with a discussion of general moduli problems, the definition of the Quot scheme, and how it is related to common moduli spaces such as Hilbert schemes, and moduli of curves. I will end with a strategy by sketching the construction of the Quot scheme which will be explored in more detail in the second talk.

5:00 pm in 241 Altgeld Hall,Monday, February 9, 2015

Khintchine inequalities

Minyu Zaho and Li Gao (UIUC Math)

Abstract: We will finish the proof for Khintchine and Voiculescu's inequality and start with p<1