Department of

# Mathematics

Seminar Calendar
for events the week of Sunday, August 21, 2016.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
      July 2016             August 2016           September 2016
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2       1  2  3  4  5  6                1  2  3
3  4  5  6  7  8  9    7  8  9 10 11 12 13    4  5  6  7  8  9 10
10 11 12 13 14 15 16   14 15 16 17 18 19 20   11 12 13 14 15 16 17
17 18 19 20 21 22 23   21 22 23 24 25 26 27   18 19 20 21 22 23 24
24 25 26 27 28 29 30   28 29 30 31            25 26 27 28 29 30
31


Monday, August 22, 2016

4:00 pm in 245 Altgeld Hall,Monday, August 22, 2016

#### Organizational meeting

###### Richard Laugesen (Department of Mathematics, University of Illinois)

Tuesday, August 23, 2016

12:00 pm in 243 Altgeld Hall,Tuesday, August 23, 2016

#### Organizational meeting

Abstract: We will hold a brief organizational meeting, then head directly to lunch.

3:00 pm in 241 Altgeld Hall,Tuesday, August 23, 2016

#### The structure of large intersecting families

###### Alexandr Kostochka (Illinois Math)

Abstract: A collection of sets is intersecting if every two members have nonempty intersection. We describe the structure of intersecting families of $r$-sets of an $n$-set whose size is somewhat smaller than the maximum ${n-1 \choose r-1}$ given by the Erdős-Ko-Rado Theorem. This extends the Hilton-Milner theorem on nontrivial intersecting families and answers a recent question of Han and Kohayakawa for large $n$. In the case $r=3$ we describe the structure of all intersecting families with more than 10 edges. We also prove a stability result for the Erdős matching problem. Our short proofs are simple applications of the Delta-system method introduced and extensively used by Frankl since 1977. This is joint work with Dhruv Mubayi.

3:00 pm in 243 Altgeld Hall,Tuesday, August 23, 2016

#### Organizational Meeting

Thursday, August 25, 2016

11:00 am in 241 Altgeld Hall,Thursday, August 25, 2016

#### Organizational Meeting

3:00 pm in 441 Altgeld Hall,Thursday, August 25, 2016

#### Organizational meeting

Abstract: Besides scheduling this semesters talks, we'll need to discuss the possibility of grad students giving pretalks at the AG lunch and organizing a summer minicourse program like the do Michigan ( http://www-personal.umich.edu/~takumim/minicourses2016.html ). It'll be lit and stocked with cookies!

4:00 pm in 245 Altgeld Hall,Thursday, August 25, 2016

#### Reciprocity and Functoriality

###### Freydoon Shahidi (Purdue University)

Abstract: I will introduce these two important concepts in Langlands program through examples within GL(n), the general linear group. In particular, I will mention some recent results concerning them.

5:00 pm in 245 Altgeld Hall,Thursday, August 25, 2016

#### IGL Kickoff Meeting

Abstract: Fall 2016 organizational meeting for the Illinois Geometry Lab

Friday, August 26, 2016

4:00 pm in 241 Altgeld Hall,Friday, August 26, 2016

#### Organizational Meeting

Abstract: We'll give a brief introduction to what the seminar is all about, then determine the talk schedule.

Saturday, August 27, 2016

1:00 pm in Pavilion, Centennial Park, Champaign,Saturday, August 27, 2016

Abstract: The Department of Mathematics annual picnic will be held from 1 - 4 p.m. on Saturday, August 27, at the Pavilion in Centennial Park, Champaign. Everyone in the department and their families are welcome to attend. Please bring a dish to share. Beverages, grilled meats and table service will be provided.