توضیحات
This book includes 33 expanded abstracts of selected talks given at the two workshops ‘Homological Bonds Between Commutative Algebra and Representation Theory’ and ‘Brave New Algebra: Opening Perspectives, ‘ and the conference ‘Opening Perspectives in Algebra, Representations, and Topology, ‘ held at the Centre de Recerca Matematica (CRM) in Barcelona between January and June 2015. These activities were part of the one-semester intensive research program ‘Interactions Between Representation Theory, Algebraic Topology and Commutative Algebra (IRTATCA).’ Most of the abstracts present preliminary versions of not-yet published results and cover a large number of topics (including commutative and non commutative algebra, algebraic topology, singularity theory, triangulated categories, representation theory) overlapping with homological methods. This comprehensive book is a valuable resource for the community of researchers interested in homological algebra in a broad sense, and those curious to learn the latest developments in the area. It appeals to established researchers as well as PhD and postdoctoral students who want to learn more about the latest advances in these highly active fields of research. Read more…
Abstract: This book includes 33 expanded abstracts of selected talks given at the two workshops ‘Homological Bonds Between Commutative Algebra and Representation Theory’ and ‘Brave New Algebra: Opening Perspectives, ‘ and the conference ‘Opening Perspectives in Algebra, Representations, and Topology, ‘ held at the Centre de Recerca Matematica (CRM) in Barcelona between January and June 2015. These activities were part of the one-semester intensive research program ‘Interactions Between Representation Theory, Algebraic Topology and Commutative Algebra (IRTATCA).’ Most of the abstracts present preliminary versions of not-yet published results and cover a large number of topics (including commutative and non commutative algebra, algebraic topology, singularity theory, triangulated categories, representation theory) overlapping with homological methods. This comprehensive book is a valuable resource for the community of researchers interested in homological algebra in a broad sense, and those curious to learn the latest developments in the area. It appeals to established researchers as well as PhD and postdoctoral students who want to learn more about the latest advances in these highly active fields of research
این کتاب شامل 33 چکیده گسترده از سخنرانیهای منتخب است که در دو کارگاه «پیوندهای همسانی بین جبر جابهجایی و نظریه بازنمایی» و «جبر جدید شجاع: چشماندازهای باز» و کنفرانس «چشماندازهای باز در جبر، بازنماییها و توپولوژی» برگزار شده است. در مرکز د Recerca Matematica (CRM) در بارسلونا بین ژانویه و ژوئن 2015. این فعالیت ها بخشی از برنامه تحقیقاتی فشرده یک ترم “تعامل بین تئوری بازنمایی” بود. توپولوژی جبری و جبر جابجایی (IRTATCA).’ اکثر چکیده ها نسخه های اولیه نتایج منتشر نشده را ارائه می دهند و تعداد زیادی از موضوعات (از جمله جبر جابجایی و غیر جابجایی، توپولوژی جبری، نظریه تکینگی، دسته های مثلثی، نظریه نمایش) را پوشش می دهند که با روش های همسانی همپوشانی دارند. این کتاب جامع منبع ارزشمندی برای جامعه محققینی است که به جبر همسانی به معنای وسیع علاقه مند هستند و کسانی که کنجکاو هستند آخرین تحولات در این منطقه را بیاموزند. این برای محققان معتبر و همچنین دانشجویان دکترا و فوق دکترا که میخواهند درباره آخرین پیشرفتها در این زمینههای تحقیقاتی بسیار فعال بیشتر بدانند، جذاب است. بیشتر بخوانید…
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