Contributions of Mexican mathematicians abroad in pure and applied mathematics : second meeting, Matemáticos Mexicanos en el Mundo, December 15-19, 2014, Centro de Investigación en Matemáticas, Guanajuato, Mexico / Fernando Galaz-García, Juan Carlos Pardo Millán, Pedro Solórzano, editors.

Format:

Book

Contributor:

Galaz-García, Fernando, editor.

Pardo, J. C., editor.

Solórzano, Pedro, 1981- editor.

Series:

Aportaciones Matematicas / Sociedad Matemática Mexicana

Contemporary mathematics (American Mathematical Society). 0271-4132

Contemporary mathematics, 709 0271-4132

Language:

English

Subjects (All):

Women mathematicians--Mexico--Congresses.

Women mathematicians.

Mathematics--Mexico--Congresses.

Mathematics.

Mathematicians--Mexico--Congresses.

Mathematicians.

Physical Description:

1 online resource (178 pages).

Edition:

1st ed.

Other Title:

Mexican mathematicians abroad

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2018]

Summary:

This volume contains the proceedings of the Second Workshop of Mexican Mathematicians Abroad (II Reunión de Matemáticos Mexicanos en el Mundo), held from December 15-19, 2014, at Centro de Investigación en Matemáticas (CIMAT) in Guanajuato, Mexico. This meeting was the second in a series of ongoing biannual meetings aimed at showcasing the research of Mexican mathematicians based outside of Mexico. The book features articles drawn from eight broad research areas: algebra, analysis, applied mathematics, combinatorics, dynamical systems, geometry, probability theory, and topology. Their topics range from novel applications of non-commutative probability to graph theory, to interactions between dynamical systems and geophysical flows. Several articles survey the fields and problems on which the authors work, highlighting research lines currently underrepresented in Mexico. The research-oriented articles provide either alternative approaches to well-known problems or new advances in active research fields. The wide selection of topics makes the book accessible to advanced graduate students and researchers in mathematics from different fields.

Contents:

Cover

Title page

Contents

Preface

List of Talks and Speakers

List of Participants

On bounds for the energy of graphs and digraphs

1. Introduction

2. Energy of a graph

3. Non commutative probability

4. Bounds for the energy of graphs

5. Energies of digraphs and matrices

6. Some relations between energies of graphs, digraphs and matrices

7. Energy of a vertex

References

The Atiyah-Singer cobordism invariance and the tangent groupoid

2. Connes tangent groupoid and the deformation to the normal cone functor

3. Index theory and deformation groupoids

4. Cobordism invariance of the index

5. Analytic interpretation

Multiplicative ergodic theorems for transfer operators: Towards the identification and analysis of coherent structures in non-autonomous dynamical systems

2. Non-autonomous dynamical systems

3. Transfer operators and quasi-compactness

4. Multiplicative ergodic theorems and coherent structures

5. Numerical and computational aspects

6. Applications to oceanic and atmospheric flows

Appendix A. Online resources for the visualization of oceanic and atmospheric flows

Representation stability for the pure cactus group

2. The space _{ } and its cohomology ring

3. Representation stability and -modules

4. Other examples

Two proofs of Taubes' theorem on strictly ergodic flows

2. First proof

3. Second proof

The fibers of the Prym map of étale cyclic coverings of degree 7

2. Description of the Prym variety as product of Jacobians

3. The number of isomorphism classes of coverings \overline

4. Proof of the main theorem

References.

Extremal higher codimension cycles of the space of complete conics

Introduction

1. Preliminaries

2. Białynicki-Birula decomposition of

3. Cycles of of dimension 3

4. Cycles of of dimension 2

Acknowledgments

On Shimura's isomorphism and (Γ, )-bundles on the upper-half plane

2. Lie algebra-valued cusp forms of weight 2

3. Character varieties for simple groups

4. Deformation theory of (\Ga, )-principal bundles on \HH

5. Shimura's isomorphism

On the dual of

2. Functions of bounded variation

3. Characterization of (signed) measures in _{ /( -1)}(\Rⁿ)*

4. On an issue raised by Meyers and Ziemer

5. Characterization of a subspace of _{ /( -1)}(\Rⁿ)* whose elements are the divergence of continuous vector fields vanishing at infinity

6. Characterization of (signed) measures in ₀(Ω)*

7. Finite measures in (Ω)*

A general solution to (free) deterministic equivalents

2. Wigner's theorem

3. Operator-valued free probability

4. The linearization trick and the main algorithm

Back Cover.

Notes:

Second meeting of Reunion de Matematicos Mexicanos en el Mundo, December 15-19, 2014, in Guanajuato, Mexico.

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-4805-X