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DTSTART;TZID=Europe/Sofia:20220429T160000
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DTSTAMP:20220423T113407Z
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UID:12226-1651248000-1651253400@math.bas.bg
SUMMARY:Семинар "Алгебра и логика"
DESCRIPTION:На 29 април 2022 г. (петък) от 16:00 ч. ще се проведе дистанционно заседание на семинара по „Алгебра и логика”. \nДоклад на тема: \nImages of multilinear polynomials on upper triangular matrices\n\nще изнесе Thiago Castilho de Mello (Universidade Federal de São Paulo\, Brazil). \n\nРезюме. Let f(x1\, …\, xm) be a polynomial in noncommutative variables over an infinite field K. If A is a K-algebra\, it defines in a natural way a map Am → A. If the polynomial f is multilinear\, the famous Lvov-Kaplansky conjecture asks whether the image of a multilinear polynomial on a matrix algebra is a vector subspace. Solutions to this problem are known only for n = 2 or m = 2 with partial results for m = 3 and n = 3. \nIn this talk\, we survey these results and discuss possible variations for this problem in the associative and nonassociative settings. \nIn particular\, we discuss a joint work with I. Gargate about images of multilinear polynomials on upper triangular matrices. \n\n  \nСеминарът ще се проведе посредством платформата Zoom и всеки желаещ може да се присъедини като последва линка: \nhttps://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09 \nTopic: Онлайн семинар на секция “Алгебра и логика”\nTime: Apr 29\, 2022 04:00 PM Sofia\nMeeting ID: 851 3737 5021\nPasscode: 035647 \nОт секция „Алгебра и логика” на ИМИ – БАН\nhttp://www.math.bas.bg/algebra/seminarAiL/\n============================== =====================
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%b0%d0%bb%d0%b3%d0%b5%d0%b1%d1%80%d0%b0-%d0%b8-%d0%bb%d0%be%d0%b3%d0%b8%d0%ba%d0%b0-77/
LOCATION:Zoom
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F %D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0 %D0%B8 %D0%BB%D0%BE%D0%B3%D0%B8%D0%BA%D0%B0":MAILTO:algebra_logic_seminar@math.bas.bg
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