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CATEGORIES:Lecture / Talk / Workshop
DESCRIPTION:Richard Stanley\nEmeritus Professor of Mathematics\, MIT\n\nAbs
tract:\nA parking function of length n is a sequence a_1\, a_2\, ... \, an
of positive integers whose increasing rearrangement b_1 \le b_2 \le ... \le
b_n satisfies b_i \le i. Parking functions go back to Pyke in 1959\; the t
erm "parking function" and the connection with the parking of cars is due t
o Konheim and Weiss (1966). Pollak gave an elegant proof that the number o
f parking functions of length n is (n + 1)^{n-1}. There are close connectio
ns between parking functions and other combinatorial objects such as trees\
, noncrossing partitions\, and the Shi hyperplane arrangement. Parking func
tions arise in several unexpected algebraic areas\, such as representations
of the symmetric group and Haiman's theory of diagonal harmonic. Parking f
unctions also have a number of natural generalizations which fit together i
n a nice way. We will survey these aspects of the theory of parking functio
ns.
DTEND:20181128T003000Z
DTSTAMP:20190920T030930Z
DTSTART:20181127T233000Z
GEO:34.022409;-118.291027
LOCATION:Kaprielian Hall (KAP)\, 414
SEQUENCE:0
SUMMARY:Whiteman Memorial Mathematics Lectures Joint with CAMS Distinguishe
d Lecture: A survey of parking functions
UID:tag:localist.com\,2008:EventInstance_4109041
URL:https://calendar.usc.edu/event/whiteman_memorial_mathematics_lectures_j
oint_with_cams_distinguished_lecture_a_survey_of_parking_functions
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