Fri
02
Dec
Graduation Application
  •  

Last day for Fall/Winter degree candidates to apply for graduation via SOLAR. Applications submitted after 11/9/22 will not appear in the commencement publication.

Mon
05
Dec
SCGP: RTG/SCGP Graduate Workshop on the Birational Complexity of Algebraic Varieties
  •  
Mon
05
Dec
Classes End: Last day of classes
  •  
Mon
05
Dec
LOA/Term Withdrawal 4 PM deadline.
  •  

Last day to take a leave of absence or withdraw from the University. Students can process via  SOLAR. Requests must be processed by 4:00 PM.

Mon
05
Dec
SCGP: Rationality Problems 1
  •   9:30am - 10:30am
  • in SCGP 102

Title:   Rationality Problems 1
Hashtag: #workshop

Mon
05
Dec
SCGP: Measure of Irrationality 1
  •   11:00am - 12:00pm
  • in SCGP 102

Title:   Measures of Irrationality
Hashtag: #workshop

Mon
05
Dec
SCGP: Cremona 1
  •   2:00pm - 3:00pm
  • in SCGP 102

Title:   Cremona 1
Hashtag: #workshop

Mon
05
Dec
Probability and Combinatorics seminar: Nadia Lafrenière - Eigenvalues for the random-to-below shuffle
  •   2:30pm - 3:30pm

Title:   Eigenvalues for the random-to-below shuffle
Speaker:   Nadia Lafrenière [Dartmouth College]

Abstract:   The random-to-below shuffle of a deck of cards consists of removing any
card at random (with uniform probability), and inserting it anywhere
below (with uniform probability). A surprising fact is that the
eigenvalues of its transition matrix are all rational and positive. This
is unexpected for a non-symmetric matrix, and suggests some
combinatorial interpretation. I’ll discuss an expression of the
eigenvalues in terms of lacunar sets, namely sets with no consecutive
integers, and make connections with the well studied top-to-random
shuffle. I'll then suggest how this may be extended to standard
tableaux. I’ll finally describe a more straightforward way to compute a
stopping time for this shuffle, answering the question of how long we
would need to shuffle to get a well-mixed deck using this shuffling
technique.
This is joint work with Darij Grinberg.
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Mon
05
Dec
SCGP: Curves in Varieties 1
  •   3:30pm - 4:30pm
  • in SCGP 102

Title:   Curves in Varieties 1
Hashtag: #workshop

Mon
05
Dec
SCGP: Speed Talks
  •   4:45pm - 5:45pm
  • in SCGP 102

Title:   Speed Talks
Hashtag: #workshop

Tue
06
Dec
Reading Day
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Tue
06
Dec
SCGP: Rationality Problems 2
  •   9:30am - 10:30am
  • in SCGP 102

Title:   Rationalities Problems 2
Hashtag: #workshop

Tue
06
Dec
SCGP: Measure of Irrationality 2
  •   11:00am - 12:00pm
  • in SCGP 102

Title:   Measure of Irrationality 2
Hashtag: #workshop

Tue
06
Dec
SCGP: Cremona 2
  •   2:00pm - 3:00pm
  • in SCGP 102

Title:   Cremona 2
Hashtag: #workshop

Tue
06
Dec
SCGP: Curves in Varieties 2
  •   3:30pm - 4:30pm
  • in SCGP 102

Title:   Curves in Varieties
Hashtag: #workshop

Wed
07
Dec
Finals
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Wed
07
Dec
SCGP: Rationality Problems 3
  •   9:00am - 10:00am
  • in SCGP 102

Title:   Rationality Problems 3
Hashtag: #workshop

Wed
07
Dec
SCGP: Measures of Irrationality 3
  •   10:30am - 11:30am
  • in SCGP 102

Title:   Measures of Irrationality 3
Hashtag: #workshop

Wed
07
Dec
SCGP: Cremona 3
  •   12:00pm - 1:00pm
  • in SCGP 102

Title:   Cremona 3
Hashtag: #workshop

Wed
07
Dec
SCGP: Physics Seminar: Marian Carrillo Gonzalez
  •   2:00pm - 3:00pm
  • in SCGP 313
Wed
07
Dec
Special Algebra, Geometry and Physics Seminar: Frank Verstraete - What is the group of a quantum group?
  •   2:00pm - 3:00pm
  • in 5-127

Title:   What is the group of a quantum group?
Speaker:   Frank Verstraete [Cambridge Univ.]

Abstract:   We discuss the categorical description of quantum group symmetries, with applications to quantum spin chains. In particular, we review how representations of quantum groups SU(2)_q can be used to construct nontrivial representations of the SU(2) symmetries of the XXZ spin chain. The main technical tools used in this work are tensor networks and matrix product operator symmetries, see e.g. https://arxiv.org/abs/2008.11187.
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Wed
07
Dec
Dynamical Systems Seminar: Alena Erchenko - TBA
  •   2:30pm - 3:30pm
  • in Math P-131

Title:   TBA
Speaker:   Alena Erchenko [Dartmouth College]

Abstract:   TBA
View Details

Thu
08
Dec
SCGP: Measures of Irrationality 4
  •   11:00am - 12:00pm
  • in SCGP 102

Title:   Measures of Irrationality 4
Hashtag: #workshop

Thu
08
Dec
SCGP: Curves in Varieties 3
  •   2:00pm - 3:00pm
  • in SCGP 102

Title:   Curves in Varieties 3
Hashtag: #workshop

Thu
08
Dec
SCGP: Speed Talks
  •   3:30pm - 4:30pm
  • in SCGP 102

Title:   Speed Talks
Hashtag: #workshop

Fri
09
Dec
SCGP: Cremona 4
  •   9:30am - 10:30am
  • in SCGP 102

Title:   Cremona 4
Hashtag: #workshop

Fri
09
Dec
SCGP: Curves in Variety 4
  •   11:00am - 12:00pm
  • in SCGP 102

Title:   Curves in Variety 4
Hashtag: #workshop

Fri
09
Dec
Dynamical Systems Seminar: Christophe Dupont - Regular and stochastic properties of the maximal entropy measure on CP(k), k=1,2.
  •   2:30pm - 3:30pm
  • in Math P-131

Title:   Regular and stochastic properties of the maximal entropy measure on CP(k), k=1,2.
Speaker:   Christophe Dupont [Universite de Rennes 1]

Abstract:   A rational map of degree d > 1 on CP(1) has a unique measure of maximal entropy mu. Its Lyapunov exponent lambda is bounded below by (1/2) log d and its dimension m is equal to log d / lambda. Moreover, mu is absolutely continuous with respect to the m-Hausdorff measure if and only if f is a power, Tchebichev or Lattès map. This rigidity result, due to Zdunik, relies on stochastic properties for mu, provided by the convergence of a geometric coding tree, worked out by Przytycki-Urbanski-Zdunik. In this talk, we shall review counterpart results for holomorphic mappings on CP(2) (which are no more conformal) and discuss open problems in this context.
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