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Topological Data Analysis
This book gathers the proceedings of the 2018 Abel Symposium, which was held in Geiranger, Norway, on June 4-8, 2018. The symposium offered an overview of the emerging field of "Topological Data Analysis". This volume presents papers on various research directions, notably including applications in neuroscience, materials science, cancer biology, and immune response. Providing an essential snapshot of the status quo, it represents a valuable asset for practitioners and those considering entering the field.
New Directions in Homotopy Theory
This volume contains the proceedings of the Second Mid-Atlantic Topology Conference, held from March 12–13, 2016, at Johns Hopkins University in Baltimore, Maryland. The focus of the conference, and subsequent papers, was on applications of innovative methods from homotopy theory in category theory, algebraic geometry, and related areas, emphasizing the work of younger researchers in these fields.
Rational Points and Arithmetic of Fundamental Groups
The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group. While the conjecture is still open today in 2012, its study has revealed interesting arithmetic for curves and opened connections, for example, to the question whether the Brauer-Manin obstruction is the only one against rational points on curves. This monograph begins by laying the foundations for the space of sections of the fundamental group extension of an algebraic variety. Then, arithmetic assumptions on the base field are imposed and the local-to-global approach is studied in detail. The monograph concludes by discussing analogues of the section conjecture created by varying the base field or the type of variety, or by using a characteristic quotient or its birational analogue in lieu of the fundamental group extension.
The Arithmetic of Fundamental Groups
In the more than 100 years since the fundamental group was first introduced by Henri Poincaré it has evolved to play an important role in different areas of mathematics. Originally conceived as part of algebraic topology, this essential concept and its analogies have found numerous applications in mathematics that are still being investigated today, and which are explored in this volume, the result of a meeting at Heidelberg University that brought together mathematicians who use or study fundamental groups in their work with an eye towards applications in arithmetic. The book acknowledges the varied incarnations of the fundamental group: pro-finite, l-adic, p-adic, pro-algebraic and motivi...
Homotopy of Operads and Grothendieck-Teichmuller Groups
The ultimate goal of this book is to explain that the Grothendieck–Teichmüller group, as defined by Drinfeld in quantum group theory, has a topological interpretation as a group of homotopy automorphisms associated to the little 2-disc operad. To establish this result, the applications of methods of algebraic topology to operads must be developed. This volume is devoted primarily to this subject, with the main objective of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and of general methods of homotopy theory. The definition of the Sullivan model for the rational homotopy of spaces is revisited, and...
Slay
Princess Rhea is heir to her kingdom, and will choose duty over love without question. Her lover, Lord Liam Cahill, understands this and supports his future queen. But when her consort-to-be, Prince Gereon, arrives, he proposes an arrangement where everyone can get what they want… with steamy benefits. This new understanding is tested when Rhea is captured by a rogue dragon. An intelligent creature tired of the princess hunting down his kind, the dragon forces Rhea to bargain with everything she has. When Liam and Gereon arrive to rescue her, they discover that Rhea really will do anything for duty…
Handbook of Homotopy Theory
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.
The Shadow of His Wings
We had to do it. We had to reprint this book. Rarely has a book had such an impact on so many of us here at Ignatius Press. It is one of the most powerful and moving books we have come across. If you can only buy one book this season, this must be the one. Here is the astonishing true story of the harrowing experiences of a young German seminarian drafted into Hitler's dreaded SS at the onset of World War II. Without betraying his Christian ideals, against all odds, and in the face of Evil, Gereon Goldmann was able to complete his priestly training, be ordained, and secretly minister to German Catholic soldiers and innocent civilian victims caught up in the horrors of war. How it all came to pass will astound you. Father Goldmann tells of his own incredible experiences of the trials of war, his many escapes from almost certain death, and the diabolical persecution that he and his fellow Catholic soldiers encountered on account of their faith. What emerges is an extraordinary witness to the workings of Divine Providence and the undying power of love, prayer, faith, and sacrifice. Illustrated
Night Shift Stories
In his novel, Night Shift Stories, Josh Sheets leads the reader through a compilation of twenty-one mystifying and horrific tales of grizzly death and destruction. Sheets' masterful use of dialogue and shocking semantics will keep readers enthralled in suspense, tempting them to turn pages to discover just what evil befalls the tragic characters he's woven into the bone-chilling tales. Sheets' frightening stories will cause the reader to think twice about going out in the dark, closing doors, hearing voices in the night, killing bugs, or even going swimming, as he creates a sense of "what if?" in the reader's mind. The compilation is eerily written and a true page-turner. Don't read it before going to bed!
The Fatherland Files
1932: A drowned man is found in a freight elevator in the giant pleasure palace on Potsdamer Platz, far from any standing water. Inspector Gereon Rath’s hunt for a mysterious contract killer has stalled, but this new case will take him to a small town on the Polish border and confrontation with the rising Nazi party.
