Department of

# Mathematics

Seminar Calendar
for events the day of Tuesday, July 21, 2015.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
      June 2015              July 2015             August 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  4  5  6             1  2  3  4                      1
7  8  9 10 11 12 13    5  6  7  8  9 10 11    2  3  4  5  6  7  8
14 15 16 17 18 19 20   12 13 14 15 16 17 18    9 10 11 12 13 14 15
21 22 23 24 25 26 27   19 20 21 22 23 24 25   16 17 18 19 20 21 22
28 29 30               26 27 28 29 30 31      23 24 25 26 27 28 29
30 31


Tuesday, July 21, 2015

12:00 pm in 343 Altgeld Hall,Tuesday, July 21, 2015

#### $e^{\pi \sqrt{163}} = 262\,537\,412\,640\,768\,743.999\,999\,999\,999\,25\ldots$

###### Nick Andersen (University of Illinois at Urbana-Champaign)

Abstract: It is not a coincidence that the irrational number in the title is extremely close to an integer. In my talk, I will attempt to explain this deep, beautiful fact which lies at the intersection of algebraic and analytic number theory. I will talk briefly about imaginary quadratic fields, Gauss' class number problem, the modular $j$-invariant, and singular moduli.