**Dynamics and
Analysis Student Seminar**

Organized by Yunping
Jiang (yunping.jiang@qc.cuny.edu)

Department of
Mathematics, CUNY Graduate Center

Fall of
2014 Schedule:

Wednesdays and some Fridays,
10:30am-12:00noon (Math Thesis Room, Rm. 4214-03):

Read book ``Quadratic
Differentials’’ by Strebel.

February 4, Organization and Nishan Chaterjee, 1.1-1.4

February 11, Yunping
Jiang, Riemann surfaces and Mobius groups (based on Farkas
and Kra’s book Riemann surfaces, \S0.1, I.1, and
IV.6)

February 18, (Monday
Schedule) Nishan Chaterjee,
2.1-2.3

February 25, Alice Kwon,
2.4-2.6

March 4, Nishan Chaterjee, 3.1-3.2

March 11, Nishan Chaterjee, 3.3

March 18, Alice Kwon, 3.4

March 25, Alice Kwon, 3.5-3.6

April 1, Santanu Nandi 4.1-4.4

April 8, Spring Recess

April 15, Santanu Nandi 4.5-5.2

**Joint with the workshop of
identities in New York (Please see room for each talk)**

April 21
(Tuesday)

15:40-16:30
(Room 4102): Ser Peow
Tan (National Univ. of Singapore)

17:00-17:50
(Room 4102): Martin Bridgeman (Boston College)

19:00: Conference Dinner at the
Persian Grill

April 22, 10:30-11:20 (Room 4102): Feng Luo (Rutgers University)

Title: Discrete uniformization
theorem for polyhedral surfaces

Abstract:
The classical uniformization theorem states that

every
Riemann surface carries a complete

constant curvature Riemannian metric in its

conformal class. However, it is difficult to

implement the uniformization
theorem for

polyhedral surfaces. We introduce a notion of

discrete conformality
for polyhedral surfaces

and prove a discrete version of the uniformization

theorem. This is a joint work with David Gu,

Jian Sun and Tianqi Wu.

11:50 - 12:40 (Room 4102): Greg McShane (Institut Fourier Grenoble)

1:50-3:10 (Math Thesis room, 4214-03): Linda Keen (CUNY Graduate Center),

Title: Dynamics on
tangent family II

3:30-4:55 (Math Thesis room, 4214-03): Moira Chas (Stony Brook University)

Title: Computer
driven theorem and questions in geometry I

Abstract: Consider an orientable surface
$S$ with negative

Euler characteristic, a minimal set of generators of

the fundamental group of $S$, and
a constant curvature

$-1$ metric on $S$. Each unbased homotopy class

$C$ of closed oriented curves on $S$ determines

three
numbers: the word length (that is, the minimal

number of letters needed to express $C$ as a
cyclic

word in the generators and their inverses),

the minimal geometric self-intersection number,

and finally the geometric length. These three numbers

can be explicitly computed (or approximated) using

a computer. We will discuss relations between

these numbers and their statistical structure

as
length becomes large.

April 24 (Friday), Santanu Nandi 5.3-5.5

April 29, John Adamski, 6.1-6.4

May 1 (Friday), John Adamski, 7.1-7.4

May 6, Marten Fels, 9.1-9.3

May 8 (Friday) No Event (Stony
Brook Meeting)

May 13, Marten Fels, 9.4-9.6

May 15 (Friday), Marten Fels, 10.1-10.5

Fall of 2014 Schedule