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MATRIX is Australia's international and residential mathematical
research institute. It facilitates new collaborations and
mathematical advances through intensive residential research
programs, each 1-4 weeks in duration. This book is a scientific
record of the eight programs held at MATRIX in 2018: -
Non-Equilibrium Systems and Special Functions - Algebraic Geometry,
Approximation and Optimisation - On the Frontiers of High
Dimensional Computation - Month of Mathematical Biology - Dynamics,
Foliations, and Geometry In Dimension 3 - Recent Trends on
Nonlinear PDEs of Elliptic and Parabolic Type - Functional Data
Analysis and Beyond - Geometric and Categorical Representation
Theory The articles are grouped into peer-reviewed contributions
and other contributions. The peer-reviewed articles present
original results or reviews on a topic related to the MATRIX
program; the remaining contributions are predominantly lecture
notes or short articles based on talks or activities at MATRIX.
MATRIX is Australia's international and residential mathematical
research institute. It facilitates new collaborations and
mathematical advances through intensive residential research
programs, each 1-4 weeks in duration. This book is a scientific
record of the eight programs held at MATRIX in 2018: -
Non-Equilibrium Systems and Special Functions - Algebraic Geometry,
Approximation and Optimisation - On the Frontiers of High
Dimensional Computation - Month of Mathematical Biology - Dynamics,
Foliations, and Geometry In Dimension 3 - Recent Trends on
Nonlinear PDEs of Elliptic and Parabolic Type - Functional Data
Analysis and Beyond - Geometric and Categorical Representation
Theory The articles are grouped into peer-reviewed contributions
and other contributions. The peer-reviewed articles present
original results or reviews on a topic related to the MATRIX
program; the remaining contributions are predominantly lecture
notes or short articles based on talks or activities at MATRIX.
The first World Meeting for Women in Mathematics - (WM)(2) - was a
satellite event of the International Congress of Mathematicians
(ICM) 2018 in Rio de Janeiro. With a focus on Latin America, the
first (WM)(2) brought together mathematicians from all over the
world to celebrate women mathematicians, and also to reflect on
gender issues in mathematics, challenges, initiatives, and
perspectives for the future. Its activities were complemented by a
panel discussion organized by the Committee for Women in
Mathematics (CWM) of the International Mathematical Union (IMU)
inside the ICM 2018 entitled "The gender gap in mathematical and
natural sciences from a historical perspective". This historical
proceedings book, organized by CWM in coordination with the
Association for Women in Mathematics, records the first (WM)(2) and
the CWM panel discussion at ICM 2018. The first part of the volume
includes a report of activities with pictures of the first (WM)(2)
and a tribute to Maryam Mirzakhani, the first woman to be awarded
the Fields medal. It also comprises survey research papers from
invited lecturers, which provide panoramic views of different
fields in pure and applied mathematics. The second part of the book
contains articles from the panelists of the CWM panel discussion,
which consider the historical context of the gender gap in
mathematics. It includes an analysis of women lecturers in the ICM
since its inception. This book is dedicated to the memory of Maryam
Mirzakhani.
MATRIX is Australia's international and residential mathematical
research institute. It facilitates new collaborations and
mathematical advances through intensive residential research
programs, each 1-4 weeks in duration. This book is a scientific
record of the eight programs held at MATRIX in its second year,
2017: - Hypergeometric Motives and Calabi-Yau Differential
Equations - Computational Inverse Problems - Integrability in
Low-Dimensional Quantum Systems - Elliptic Partial Differential
Equations of Second Order: Celebrating 40 Years of Gilbarg and
Trudinger's Book - Combinatorics, Statistical Mechanics, and
Conformal Field Theory - Mathematics of Risk - Tutte Centenary
Retreat - Geometric R-Matrices: from Geometry to Probability The
articles are grouped into peer-reviewed contributions and other
contributions. The peer-reviewed articles present original results
or reviews on a topic related to the MATRIX program; the remaining
contributions are predominantly lecture notes or short articles
based on talks or activities at MATRIX.
MATRIX is Australia's international, residential mathematical
research institute. It facilitates new collaborations and
mathematical advances through intensive residential research
programs, each lasting 1-4 weeks. This book is a scientific record
of the five programs held at MATRIX in its first year, 2016: -
Higher Structures in Geometry and Physics - Winter of
Disconnectedness - Approximation and Optimisation - Refining
C*-Algebraic Invariants for Dynamics using KK-theory - Interactions
between Topological Recursion, Modularity, Quantum Invariants and
Low- dimensional Topology The MATRIX Scientific Committee selected
these programs based on their scientific excellence and the
participation rate of high-profile international participants. Each
program included ample unstructured time to encourage collaborative
research; some of the longer programs also included an embedded
conference or lecture series. The articles are grouped into
peer-reviewed contributions and other contributions. The
peer-reviewed articles present original results or reviews on
selected topics related to the MATRIX program; the remaining
contributions are predominantly lecture notes based on talks or
activities at MATRIX.
The first World Meeting for Women in Mathematics - (WM)(2) - was a
satellite event of the International Congress of Mathematicians
(ICM) 2018 in Rio de Janeiro. With a focus on Latin America, the
first (WM)(2) brought together mathematicians from all over the
world to celebrate women mathematicians, and also to reflect on
gender issues in mathematics, challenges, initiatives, and
perspectives for the future. Its activities were complemented by a
panel discussion organized by the Committee for Women in
Mathematics (CWM) of the International Mathematical Union (IMU)
inside the ICM 2018 entitled "The gender gap in mathematical and
natural sciences from a historical perspective". This historical
proceedings book, organized by CWM in coordination with the
Association for Women in Mathematics, records the first (WM)(2) and
the CWM panel discussion at ICM 2018. The first part of the volume
includes a report of activities with pictures of the first (WM)(2)
and a tribute to Maryam Mirzakhani, the first woman to be awarded
the Fields medal. It also comprises survey research papers from
invited lecturers, which provide panoramic views of different
fields in pure and applied mathematics. The second part of the book
contains articles from the panelists of the CWM panel discussion,
which consider the historical context of the gender gap in
mathematics. It includes an analysis of women lecturers in the ICM
since its inception. This book is dedicated to the memory of Maryam
Mirzakhani.
Permutation groups, their fundamental theory and applications are
discussed in this introductory book. It focuses on those groups
that are most useful for studying symmetric structures such as
graphs, codes and designs. Modern treatments of the O'Nan-Scott
theory are presented not only for primitive permutation groups but
also for the larger families of quasiprimitive and innately
transitive groups, including several classes of infinite
permutation groups. Their precision is sharpened by the
introduction of a cartesian decomposition concept. This facilitates
reduction arguments for primitive groups analogous to those, using
orbits and partitions, that reduce problems about general
permutation groups to primitive groups. The results are
particularly powerful for finite groups, where the finite simple
group classification is invoked. Applications are given in algebra
and combinatorics to group actions that preserve cartesian product
structures. Students and researchers with an interest in
mathematical symmetry will find the book enjoyable and useful.
This book presents a complete classification of the transitive
permutation representations of rank at most five of the sporadic
simple groups and their automorphism groups, together with a
comprehensive study of the vertex-transitive graphs associated with
these representations. Included is a list of all vertex-transitive,
distance-regular graphs on which a sporadic almost simple group
acts with rank at most five. In this list are some new, interesting
distance-regular graphs of diameter two, which are not
distance-transitive. For most of the representations a presentation
of the sporadic group is given, with words in the given generators
which generate a point stabiliser: this gives readers sufficient
information to reconstruct and study the representations and
graphs. Practical computational techniques appropriate for
analysing finite vertex-transitive graphs are described carefully,
making the book an excellent starting point for learning about
groups and the graphs on which they act.
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