BEGIN:VCALENDAR VERSION:2.0 PRODID:-// - ECPv6.16.3//NONSGML v1.0//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-ORIGINAL-URL:https://aarms.math.ca X-WR-CALDESC:Events for REFRESH-INTERVAL;VALUE=DURATION:PT1H X-Robots-Tag:noindex X-PUBLISHED-TTL:PT1H BEGIN:VTIMEZONE TZID:UTC BEGIN:STANDARD TZOFFSETFROM:+0000 TZOFFSETTO:+0000 TZNAME:UTC DTSTART:20220101T000000 END:STANDARD END:VTIMEZONE BEGIN:VTIMEZONE TZID:America/Halifax BEGIN:DAYLIGHT TZOFFSETFROM:-0400 TZOFFSETTO:-0300 TZNAME:ADT DTSTART:20220313T060000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0300 TZOFFSETTO:-0400 TZNAME:AST DTSTART:20221106T050000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0400 TZOFFSETTO:-0300 TZNAME:ADT DTSTART:20230312T060000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0300 TZOFFSETTO:-0400 TZNAME:AST DTSTART:20231105T050000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0400 TZOFFSETTO:-0300 TZNAME:ADT DTSTART:20240310T060000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0300 TZOFFSETTO:-0400 TZNAME:AST DTSTART:20241103T050000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;VALUE=DATE:20230313 DTEND;VALUE=DATE:20230318 DTSTAMP:20260612T171424 CREATED:20230228T164404Z LAST-MODIFIED:20230228T164444Z UID:7135-1678665600-1679097599@aarms.math.ca SUMMARY:Automorphisms And Derivations In Affine Algebraic Geometry DESCRIPTION:Mini-course by Professor Leonid Makar-Limanov\, Wayne University\,  USA \nBrief description of the mini course\nAfter this course you will know the proofs of several classical theorems of Affine Algebraic Geometry. The original proofs of these theorems were quite involved and a much longer course would be needed for their exposition. \nIn the first lecture we will discuss the theorems of Heinrich Jung and Rudolf Rentschler. The first one describes all invertible transformations of the plane by polynomials and the second all generalized shifts of the plane. Algebraically speaking\, Jung’s theorem describes all automorphisms of the ring of polynomials with two variables and Rentschler theorem describes all subgroups of this group which are isomorphic to the group of complex numbers under addition. If we have time\, we will  discuss the groups of polynomial automorphisms of several other surfaces. \nThe second lecture is devoted to the following topic: if a cylinder is given\, is it possible to recover the base of this cylinder. In general the answer is no\, but we discuss two cases when this is possible. We show that if the cylinder over a curve is given then we can recover this curve (this is the theorem of Shreeram Abhyankar\, Paul Eakin\, and William Heinzer). If the cylinder over a surface is isomorphic to a three-dimensional space then the surface is isomorphic to a plane (this is a theorem of Takao Fujita). \nHere is an algebraic translation: \nIf A is an integral domain of transcendence degree one and A[x1\, x2\,…\, xn] is given\, we can recover A up to an isomorphism. If A is an integral domain of transcendence degree two and A[x] is isomorphic to C[y1\,y2\,y3] then A is isomorphic to C[z1\,z2].  The main tool used in these two lectures is locally nilpotent derivations. \nIn the third lecture we prove one of the most famous theorems in affine algebraic geometry\, the AMS Theorem (after Abhyankar\, Tsuong-tsieng Moh\, Masakazu Suzuki): any smooth “good” embedding of a line to a plane is the image of a coordinate line under an automorphism of the plane. Algebraically\, this means the following: if two polynomials f(t)\, g(t)∈ C[t] generate C[t] then the smaller of the degrees of f(t)\, g(t) divides the larger of the degrees of f(t)\, g(t). The main tool here is a new algorithm for finding an irreducible dependence between two polynomials in one variable. \nThe lectures will be delivered during three time periods\, as shown below. They will take place at the St. John’s campus of Memorial University and will be broadcast via Webex. All the times are in Newfoundland Time (NST=UTC-3:30). \nMonday\, March 13th: TBA \nTuesday\, March 14th: TBA \nThursday\, March 16th: TBA \nThe lectures will be available online via Webex.  The details will be given later.  Contact the organizers for more information:   Mikhail Kotchetov ;  Yuri A Bakhturin URL:https://aarms.math.ca/event/automorphisms-and-derivations-in-affine-algebraic-geometry/ LOCATION:Memorial University (St. John’s Campus)\, St. John's\, Newfoundland and Labrador\, Canada CATEGORIES:AARMS schools and minicourses ORGANIZER;CN="Mikhail Kotchetov":MAILTO:Mikhail@mun.ca END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Halifax:20230317T160000 DTEND;TZID=America/Halifax:20230317T170000 DTSTAMP:20260612T171424 CREATED:20200904T115630Z LAST-MODIFIED:20230314T085635Z UID:7000-1679068800-1679072400@aarms.math.ca SUMMARY:Dalhousie-AARMS AAMP Seminar: Milivoje Lukic (Rice U.) DESCRIPTION:Title: Universality limits for orthogonal polynomialsAbstract: It is often expected that the local statistical behavior ofeigenvalues of some system depends only on its local properties; forinstance\, the local distribution of zeros of orthogonal polynomials shoulddepend only on the local properties of the measure of orthogonality. Thisphenomenon is studied using an object called the Christoffel-Darbouxkernel. The most commonly studied case is known as bulk universality\,where the rescaled limit of Christoffel-Darboux kernels converges to thesine kernel.In this talk\, we will survey this subject\, prior results\, and a recentresult which gives for the first time a completely local sufficientcondition for bulk universality. The new approach is based on a matrixversion of the Christoffel-Darboux kernel and the de Branges theory ofcanonical systems\, and it applies to other self-adjoint systems with 2×2transfer matrices such as continuum Schrodinger and Dirac operators.The talk is based on joint work with Benjamin Eichinger (TechnicalUniversity Wien) and Brian Simanek (Baylor University).\nThe Dalhousie-AARMS Analysis-Applied Math-Physics Seminar takes place on Fridays from 4 – 5 pm Atlantic Time over either Zoom and/or in Chase 227 depending on the speaker.  If you would like to attend\, please email the organizers for connection details. URL:https://aarms.math.ca/event/dalhousie-aarms-aamp-seminar-steven-lester-kings-college-london-2-2-3-2-2-2-4-2-2-2-2-2-2-2-2/ LOCATION:Dalhousie University\, Halifax\, Nova Scotia\, Canada CATEGORIES:AAMP Seminar ORGANIZER;CN="Suresh Eswarathasan":MAILTO:sr766936@dal.ca END:VEVENT END:VCALENDAR