Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, March 15, 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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Thursday, March 15, 2018

11:00 am in 241 Altgeld Hall,Thursday, March 15, 2018

#### Some conjectural properties of coefficients of cyclotomic polynomials

###### Bogdan Petrenko (Eastern Illinois U. Math.)

Abstract: The goal of this talk is to interest the audience in some puzzling experimental observations about the asymptotic behavior of coefficients of cyclotomic polynomials. It is well known that any integer is a coefficient of some cyclotomic polynomial. We find it intriguing that when various families of coefficients of cyclotomic polynomials are plotted on the computer screen, the resulting pictures appear "asymptotically almost symmetric". At present, we do not have any theoretical explanation of this perceived behavior of the coefficients. This talk is based on my joint work in progress with Brett Haines (Wolfram Research), Marcin Mazur (Binghamton University), and William Tyler Reynolds (University of Iowa).

2:00 pm in 241 Altgeld Hall,Thursday, March 15, 2018

#### Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels

###### Hsin-Po Wang (UIUC)

Abstract: We will talk about https://arxiv.org/abs/0807.3917 Polar code is considered one of the best codes in the world (together with LDPC and Turbo code). Following Arikan's paper, we will define polar code from scratch and prove that it achieve capacity. If time permits, we will talk about implementation details; in particular comparing virtual channels in an engineering-friendly way. If time still permits, we will talk about how fast does it achieve capacity.

5:00 pm in 314 Altgeld Hall,Thursday, March 15, 2018

#### IGL Mid-semester meeting

Abstract: Come see what the IGL research groups have been working on this semester! 5:00-6:30 followed by pizza.