Noah Snyder : Annotated Publication List
نویسنده
چکیده
Subfactors of the hyperfinite II1 factor of index less than or equal to 4 were classified in the late 80s and early 90s through work of Jones, Ocneanu, Popa, and many others. There is an ADE classification, and all of the examples are closely related to quantum or classical SU(2). When the index is larger than 4, there is one family of A∞ subfactors related to quantum SU(2) which are difficult to classify, but once those are excluded Haagerup observed that a similar classification should be possible for index somewhat larger than 4. The goals of this research program (joint with Scott Morrison, Emily Peters, and others) were to complete Haagerup’s classification on subfactors of index less than 3 + √ 3 (building on work of Asaeda, Bisch, Haagerup, and Yasuda) and to extend this classification to index 5. More recently work of Liu, Penneys, and Afzaly–Morrison–Penneys has extended these results to index 5.25.
منابع مشابه
Noah Snyder : Teaching Statement
I have long enjoyed teaching, and have had a wide variety of teaching jobs over the past dozen years. I’ve worked in many different capacities at summer math programs for nine summers, I taught a sophomore tutorial at Harvard, I’ve given over 30 seminar talks at Berkeley, and I taught four sections of Calculus at U.C. Berkeley. Beyond a general interest in teaching, I have strong particular int...
متن کاملLectures # 5 and 6 : The Prime Number Theorem . Noah Snyder
Riemann used his analytically continued ζ-function to sketch an argument which would give an actual formula for π(x) and suggest how to prove the prime number theorem. This argument is highly unrigorous at points, but it is crucial to understanding the development of the rest of the theory. Notice that log ζ(s) = ∑ p ∑ n 1 np −ns for Re(s) > 1. Letting J(x) = ∑ pk≤x 1 k , notice that log ζ(s) =...
متن کاملCyclotomic Integers, Fusion Categories, and Subfactors
Dimensions of objects in fusion categories are cyclotomic integers, hence number theoretic results have implications in the study of fusion categories and finite depth subfactors. We give two such applications. The first application is determining a complete list of numbers in the interval (2, 76/33) which can occur as the FrobeniusPerron dimension of an object in a fusion category. The smalles...
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