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Cubical Models of $(infty ,1)$-Categories
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Models, Logics, and Higher-dimensional Categories
Proceedings of a conference held at Centre de recherches mathematiques of the Universite de Montreal, June 18-20, 2009.
Homotopy in Exact Categories
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Topics in Cryptology – CT-RSA 2018
This book constitutes the refereed proceedings of the Cryptographer's Track at the RSA Conference 2018, CT-RSA 2018, held in San Francisco, CA, USA, in March 2018. The 26 papers presented in this volume were carefully reviewed and selected from 79 submissions. CT-RSA is the track devoted to scientific papers on cryptography, public-key to symmetric-key cryptography and from crypto- graphic protocols to primitives and their implementation security.
Typed Lambda Calculi and Applications
This book constitutes the refereed proceedings of the 10th International Conference on Typed Lambda Calculi and Applications, TLCA 2011, held in Novi Sad, Serbia, in June 2011 as part of RDP 2011, the 6th Federated Conference on Rewriting, Deduction, and Programming. The 15 revised full papers presented were carefully reviewed and selected from 44 submissions. The papers provide prevailing research results on all current aspects of typed lambda calculi, ranging from theoretical and methodological issues to applications in various contexts addressing a wide variety of topics such as proof-theory, semantics, implementation, types, and programming.
Reconstructing Orbit Closures from their Boundaries
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Higher Categories and Homotopical Algebra
This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century. The text starts from scratch - revisiting results from classical homotopy theory such as Serre's long exact sequence, Quillen's theorems A and B, Grothendieck's smooth/proper base change formulas, and the construction of the Kan–Quillen model structure on simplicial sets - and develops an alternative to a significant part of Lurie's definitive reference Higher Topos Theory, with new constructions and proofs, in particular, the Yoneda Lemma and Kan extensions. The strong emphasis on homotopical algebra provides clear insights into classical constructions such as calculus of fractions, homotopy limits and derived functors. For graduate students and researchers from neighbouring fields, this book is a user-friendly guide to advanced tools that the theory provides for application.
Mathematics for Future Computing and Communications
A panorama of new ideas in mathematics that are driving innovation in computing and communications.
