Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, December 5, 2018.

     .
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.
    November 2018          December 2018           January 2019    
 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          1  2  3  4  5
  4  5  6  7  8  9 10    2  3  4  5  6  7  8    6  7  8  9 10 11 12
 11 12 13 14 15 16 17    9 10 11 12 13 14 15   13 14 15 16 17 18 19
 18 19 20 21 22 23 24   16 17 18 19 20 21 22   20 21 22 23 24 25 26
 25 26 27 28 29 30      23 24 25 26 27 28 29   27 28 29 30 31      
                        30 31                                      

Wednesday, December 5, 2018

3:00 pm in 241 Altgeld Hall,Wednesday, December 5, 2018

$\ell^2$ Betti numbers of countable Borel equivalence relations: Part 4

Ruiyuan (Ronnie) Chen (UIUC Math)

Abstract: We will continue to discuss Gaboriau's 2002 paper "Invariants $\ell^2$ de relations d'équivalence et de groupes" from a descriptive set-theoretic point of view. In this second talk, we will discuss Borel fields of sets and structures (in particular, simplicial complexes and Hilbert spaces) over a countable Borel equivalence relation, and how to measure their "Borel cardinality" using Tarski's theory of cardinal algebras.

4:00 pm in 2 Illini Hall,Wednesday, December 5, 2018

Tiered UFD

Justin Kelm (UIUC Math)

Abstract: We proved the proporty that a strongly tiered UFD will satisfy.

4:00 pm in 245 Altgeld Hall,Wednesday, December 5, 2018

Orders of infinities: asymptotic valued differential fields

Nigel Pynn-Coates (UIUC Math)

Abstract: Asymptotic valued differential fields go back to work of Hardy and are motivated by comparing the asymptotic behaviour of solutions to differential equations. I will introduce valued differential fields and discuss some of this history. We will see how versions of líHŰpitalís Rule show up as key properties in the subject. Along the way, I will draw some pictures to illustrate the topology of valued fields. Time permitting, I may mention some of my results or ongoing work.