Department of

# Mathematics

Seminar Calendar
for events the day of Tuesday, August 28, 2018.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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1  2  3  4  5  6  7             1  2  3  4                      1
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30


Tuesday, August 28, 2018

1:00 pm in 345 Altgeld Hall,Tuesday, August 28, 2018

#### Organizational meeting

2:00 pm in 243 Altgeld Hall,Tuesday, August 28, 2018

#### The method of hypergraph containers

###### Jozsef Balogh (Illinois Math)

Abstract: We will give a gentle introduction to a recently-developed technique for bounding the number (and controlling the typical structure) of finite objects with forbidden substructures. This technique exploits a subtle clustering phenomenon exhibited by the independent sets of uniform hypergraphs whose edges are sufficiently evenly distributed; more precisely, it provides a relatively small family of 'containers' for the independent sets, each of which contains few edges. In the first half of the talk we will attempt to convey a general high-level overview of the method; in the second, we will describe a few illustrative applications in areas such as extremal graph theory, Ramsey theory, additive combinatorics, and discrete geometry. Note that it is a "repetition of the ICM 2018 talk", hence it will have overlap with several previous (seminar) talks, and no new result will be presented.

3:00 pm in 243 Altgeld Hall,Tuesday, August 28, 2018