# Category Archives: Colloquium

# Some archived events from 2007–2010

#### Distinguished Lecture Series

###### GENERAL AUDIENCE LECTURE The Right Answers to The Wrong Questions. A Brief History of Mathematics in Finance

#### Colloquia

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###### Invariant measures on countable models

###### On some conjectures of Ron Brown and Alexander Grothendieck

*finitely generated*fields over $\mathbb{Q}$, that is, finite algebraic extensions of the field of rational functions in $d$ variables. More precisely, Grothendieck conjectured that a certain type of comparison of the Galois towers of two such fields $K$, $L$ should correspond to inclusions $K \to L$, and this also was proved.

*arithmetic*properties of $X$, essentially determines the Riemann surface $X$ itself, inside a $6g - 6$ dimensional moduli space of Riemann surfaces of genus $g \geq 2$.

*rational*solutions of the equation $f(r, s) = 0$ should be explained in terms of another type of comparison of the Galois tower of the field $\mathbb{Q}$ and the tower of the arithmetic meromorphic function field $E_{\mathbb{Q}}(X)$. [For example, a problem of some interest has been to understand rational solutions of $r^n + s^n = 1, n \geq 3$. The polynomial $z^n + w^n -1$ defines a Riemann surface of genus $g = (n-1)(n-2)/2$. The story goes that in the 80's Grothendieck thought he might be able to settle such arithmetic questions by his Galois tower considerations, or at least recover Falting's results on the finiteness of the number of rational solutions when $g \geq 2$.]

###### Towards a Theory of Dynamical Complex Multiplication

###### Interactions of randomness and computability

###### Global Weyl modules, BGG Duality and the Catalan numbers

###### Infinitesimals in Probability

###### Riemann integrals and random reals

###### From Zeta to L to A: Some number theory using the Riemann zeta-function, L-functions, and automorphic forms

###### About a Problem Arising in Radiative Heat Transfer

###### New Operator-Difference Schemes in Hilbert Space

###### Facilitating Active Learning in Calculus

###### Variational and Geometric Methods in Image Processing and Analysis

###### Lattice embeddings into the computably enumerable Turing degrees

###### Quasi-homomorphism Rigidity with Noncommutative Targets

###### Everything you need to know to do research in lattice theory (but were afraid to ask)

###### Diagonal Compressions of Matrices and Numerical Shadows

###### Binary Trees in Financial Calculations

###### Calibrating the Complexity of Mathematical Proofs and Constructions

###### SUPER-News and updates about SUPER-M

###### On the Classification of Graph C*-Algebras

###### Buffon Needle and Singular Integrals

###### Metric Graphs: The Poor Mathematician's Riemann Surface *or* You're in Good Company if Someone Calls You One-Dimensional

###### Regular idempotents in beta G

###### Reaction-Diffusion Equations as Models for Pattern Formation in Biological Systems

###### A Greedy Sorting Algorithm

###### Theory and Applications of Optimal Control Problems with Delays

###### The Hierarchy of Definability

###### Looking back, a Descartes Sample and some Sacred Mathematics

###### Stable Ramsey's theorem and measure

###### Top 10 Tips for Math Grad Students (from someone who has not been a grad student for a very long time and therefore probably doesn't know what he's talking about)

###### Do Dogs Know Calculus?

###### Some Algebras have Nonfinitely Axiomatizable Equational Theories

###### Observations about Perfect Lattices

###### Closed range composition operators

###### Schur Norms: Basic Methods and Diverse Applications

###### A Very Large Integer

###### How Composition Operators (could) Solve the Invariant Subspace Problem

###### GENERAL AUDIENCE LECTURE UNEARTHING THE VISIONS OF A MASTER: THE WEB OF RAMANUJAN'S MOCK THETA FUNCTIONS IN NUMBER THEORY

###### FREEMAN DYSON'S CHALLENGE FOR THE FUTURE: THE MOCK THETA FUNCTIONS I

###### FREEMAN DYSON'S CHALLENGE FOR THE FUTURE: THE MOCK THETA FUNCTIONS II

###### Character Varieties

###### An Afternoon of Beautiful Mathematics for Girls and Their Families

###### Diophantine quadruples

###### Translation Flows and Vershik's Automorphisms

###### Algebra and analysis of the generalized Routh-Hurwitz problem.

###### Profinite actions: graphs, groups and dynamics

###### Describing the Tame Geometry and the Tame Topology of Algebraic Varieties and Their Projections

###### On Extremal Quasi-Modular Forms for GL_2(F_q[T]) following Kaneko, Koike, and Zagier

###### Non-existence Theorem Without In-phase and Out-of-phase Solutions in the Coupled Van der Pol Equation System

###### Randomness, computability, and effective descriptive set theory

###### The Lagrangian in Symplectic Mechanics

###### Global Singularity Theory in Differential Topology

###### Complementarity in Quantum Cryptography and Error Correction

###### Automatic continuity of nonstandard measures: Part II

###### Conjugate and Cut Loci for Riemannian Metrics in 2 Dimension Sphere of Revolution with Applications to Orbital Transfer and Quantum Control

###### On the Heegaard Genus of Knot Exteriors

###### Interlaced Eigenvalues and Quantum Information Theory

###### Butterflies: A New Representation of Links

###### Some Local Measures of Dependence Between Two Random Variables

###### Optimal Control for Systems with State Space Constraints and Applications to Semiconductors

###### Mathematical Models of Novel Cancer Therapies as Optimal Control Problems

###### Order-Bounded Operator

###### Card tricks, hats, false pearls, lottery, and coding theory

###### On Extremal Quasi-Modular Forms for GL_2(F_q[T])

following Kaneko, Koike, and Zagier

#### Dissertation defenses

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#### MA defenses

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###### The Law of the Iterated Logarithm (How far is one likely to go on a random walk?)

#### Undergraduate seminars

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###### How to prepare to be an actuary

###### Nonlinear algebra

###### Generatingfunctionology (the mothership connection)

###### Reaction-Diffusion Equations as Models for Pattern Formation in Biological Systems

###### Gerrymandering, Convexity, and Shape Compactness

###### Lagrange's Identity & Applications to Probability Sampling

###### On the Markoff Equation: X^{2} + Y^{2} + Z^{2} = 3XYZ

###### Math Students Wanted: The New Master in Financial Engineering Program at UH

##### Some other events from 2009-2010

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Welcome Graduate Students - Lecture I:

Wed., August 18, 2010, 3:30, Keller 401

Prof. Erik Guentner

UHM Math Dept

Welcome Graduate Students - Lecture II:

Thurs., August 19, 2010, 3:30, Keller 401

Prof. Les Wilson

UHM Math Dept

International Week of Mathematics

October 11-15, 2010

SUPER-M Project

UHM Math Dept.

Week of Mathematics Hawai'i-Geneva 2010

UHM News Release

**Abstract:** An event co-organized by *la Commission genevoise de
l'enseignement des mathématiques* (comprised of the mathematics department at the
University of Geneva, Switzerland and the primary and secondary school system)
and the SUPER-M project of the mathematics department at the University of
Hawai‘i, USA.

For one week this initiative will bring together the primary/secondary educational systems and university faculty and students. All volunteer classrooms work around a common theme. This year's theme is folding. Folding usually suggests origami or other traditional folding but it is not on this aspect that these lessons are primarily developed: there is often little mathematics in origami, especially when the purpose is to follow a pre-designed model, or the mathematics are so complex that they are accessible only to the higher grade levels. The emphasis here is to use folding activities to generate mathematical questions in relation to different levels of mathematics.

SUPER-M Workshop - Day 1

Fri., August 20, 2010, 9:00 a.m. - 4:00 p.m., Keller 313

SUPER-M Workshop Picnic

Fri., August 20, 2010, 6:00 p.m., Magic Island

SUPER-M Workshop - Day 2

Sat., August 21, 2010, 9:00 a.m. - 1:30 p.m., Keller 313

NSF Sponsored Workshop:

Schedule of Talks and Events

Wed., November 11, 2009, 9:00 a.m. - 3:00 p.m., Lokelani Intermediate School on Maui

UH Department of Mathematics

SUPER-M: School and University Partnership for

Educational Renewal in Mathematics

NSF Sponsored Workshop:

Schedule of Talks and Events

Sat., November 7, 2009, 9:00 a.m. - 3:00 p.m., Pauoa Elementary School in Honolulu

UH Department of Mathematics

SUPER-M: School and University Partnership for

Educational Renewal in Mathematics

NSF Sponsored Workshop:

Schedule of Talks and Events

Fri - Sat, August 21-22, 2009, 9:00 a.m. - 2:00 p.m., Keller 303

UH Department of Mathematics

SUPER-M: School and University Partnership for

Educational Renewal in Mathematics

Honors seminars for NSF scholars, and some Master's degree plan B presentations (XML format)