**Contemporary Mathematics**

Volume: 657;
2016;
237 pp;
Softcover

MSC: Primary 13; 14; 18; 20; 37; 46;

Print ISBN: 978-1-4704-2192-2

Product Code: CONM/657

List Price: $108.00

AMS Member Price: $86.40

MAA Member Price: $97.20

**Electronic ISBN: 978-1-4704-2869-3
Product Code: CONM/657.E**

List Price: $108.00

AMS Member Price: $86.40

MAA Member Price: $97.20

# Mexican Mathematicians Abroad: Recent Contributions

Share this page *Edited by *
*Noé Bárcenas; Fernando Galaz-García; Mónica Moreno Rocha*

This volume contains the proceedings of the
First Workshop “Matemáticos Mexicanos Jóvenes en
el Mundo”, held from August 22–24, 2012, at Centro de
Investigación en Matemáticas (CIMAT) in Guanajuato,
Mexico.

One of the main goals of this meeting was to present different
research directions being pursued by young Mexican mathematicians
based in other countries, such as Brazil, Canada, Colombia, Estonia,
Germany, Spain and the United States, showcasing research lines
currently underrepresented in Mexico.

Featured are survey and research articles in six areas: algebra,
analysis, applied mathematics, geometry, probability and topology.
Their topics range from current developments related to well-known
open problems to novel interactions between pure mathematics and
computer science. Most of the articles provide a panoramic view of the
fields and problems the authors work on, making the book accessible to
advanced graduate students and researchers in mathematics from
different fields.

This book is published in cooperation with Sociedad Matemática Mexicana

#### Readership

Graduate students and research mathematicians interested in various areas of mathematics, including higher category theory, homotopy theory, metric geometry, functional analysis, representation theory, and related topics.

# Table of Contents

## Mexican Mathematicians Abroad: Recent Contributions

- Cover Cover11 free
- Title page iii4 free
- Contents v6 free
- Prologue vii8 free
- Preface ix10 free
- List of Participants xiii14 free
- Locally pseudoconvex inductive limit of locally pseudoconvex 𝑄-algebras 118 free
- A whirlwind tour of the world of (∞,1)-categories 1532
- 1. Introduction 1633
- 2. The idea of higher category theory 1734
- 3. Models of \io-categories 2643
- 4. The comparison problem 3653
- 5. Basic \io-category theory 3855
- 6. Some applications 4764
- References 5572

- Norm convergence in non-commutative central limit theorems: Combinatorial approach 6380
- Dynamical models for some torus homeomorphisms 7592
- A review of No Free Lunch Theorems for search 85102
- Part 1. Deterministic Algorithms 87104
- Part 2. Stochastic Algorithms 93110
- On triangulations, quivers with potentials and mutations 103120
- Riemann-Roch without denominators for oriented cohomology theories 129146
- A survey on the Lyubeznik numbers 137154
- 1. Introduction 137154
- 2. Preliminaries 139156
- 3. Definition and first properties 142159
- 4. The highest Lyubeznik number 143160
- 5. Lyubeznik numbers for projective schemes 146163
- 6. Further geometric and topological properties 148165
- 7. Generalized Lyubeznik numbers 149166
- 8. Lyubeznik numbers of Stanley-Reisner rings 153170
- 9. Lyubeznik numbers in mixed characteristic 157174
- Acknowledgments 160177
- References 160177

- Cluster value problem in infinite-dimensional spaces 165182
- A survey on the convergence of manifolds with boundary 179196
- Convexity is a local property in 𝐶𝐴𝑇(𝜅) spaces 189206
- An introduction to the half-infinite wedge 197214
- 1. Introduction 197214
- 2. General representation theory of the symmetric group 198215
- 3. Formulas for the dimension 201218
- 4. The Murnaghan-Nakayama rule 204221
- 5. Symmetric and shifted-symmetric functions 205222
- 6. The half-infinite wedge fermionic Fock space 209226
- 7. Vertex operators 217234
- 8. Variational methods 225242
- 9. Probability distributions and limit shapes 228245
- References 235252

- Back Cover Back Cover1256