Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, April 8, 2015.

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events for the
events containing

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


Wednesday, April 8, 2015

2:00 pm in 2 Illini Hall,Wednesday, April 8, 2015

#### Cohomological Consequences of The Pattern Map

Abstract: Given a quiver, $Q$, there is a corresponding Auslander-Reiten quiver, $\Gamma_Q$, which encodes information about the building blocks of the representation theory of $Q$. When the underlying graph of $Q$ is a type A Dynkin diagram, $\Gamma_Q$ gives a complete picture. We will present two methods of constructing $\Gamma_Q$ for type A quivers, the knitting algorithm and elementary rotations of an $n+3$-gon. We will then discuss homological properties which can be derived from $\Gamma_Q$. This talk will follow section 3.1 of Representations of Quivers, by R. Schiffler. It is a continuation of last week's IRT lecture.