BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Date iCal//NONSGML kigkonsult.se iCalcreator 2.20.4// METHOD:PUBLISH X-WR-CALNAME;VALUE=TEXT:Yale Math Department BEGIN:VTIMEZONE TZID:America/New_York BEGIN:STANDARD DTSTART:20261101T020000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:EST END:STANDARD BEGIN:DAYLIGHT DTSTART:20270314T020000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:EDT END:DAYLIGHT END:VTIMEZONE BEGIN:VEVENT UID:calendar.25411.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20261005T153336Z DESCRIPTION:Abstract:\n\nRecently\, Liang and Sagan introduced a recipe for giving “combinatorial” proofs of log-concavity and log-convexity results using distributive lattices. In current ongoing work with WonMyeong Cho\, we show that their method can be applied to a class of number sequences ge neralizing the classical Stirling numbers (including a “type-B” analog of Stirling numbers). Our method involves showing that these generalized Stir ling numbers count certain kinds of P-partitions\, and utilizing the assoc iated distributive lattice structure. DTSTART;TZID=America/New_York:20261009T100000 DTEND;TZID=America/New_York:20261009T110000 LAST-MODIFIED:20261005T153336Z LOCATION:Kline Tower 801 SUMMARY:Log Concavity and Type-B Stirling Numbers URL;TYPE=URI:https://calendar.math.yale.edu/event/log-concavity-and-type-b- stirling-numbers END:VEVENT BEGIN:VEVENT UID:calendar.25402.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260917T153409Z DESCRIPTION:I will present the recurrence and some other properties of symm etric random walks on Homeo_+(\R)\, from a paper of Deroin\, Kleptsyn\, Na vas and Parwani. DTSTART;TZID=America/New_York:20261009T140000 DTEND;TZID=America/New_York:20261009T140000 LAST-MODIFIED:20261009T005918Z LOCATION:KT 801 SUMMARY:Symmetric random walks on Homeo^{+}(R) URL;TYPE=URI:https://calendar.math.yale.edu/event/symmetric-random-walks-ho meor END:VEVENT BEGIN:VEVENT UID:calendar.25366.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260908T142246Z DESCRIPTION:The Lagrange spectrum is a classical object in number theory\, defined as the set of values of liminf_{q→∞} q dist(qα\,ℤ)\, where α runs through irrational numbers. It has a complicated structure\, with the disc rete part\, Hall’s ray\, and a transitional part in between. One can simil arly define the Lagrange spectrum in the multidimensional set-up\, and unt il now not much has been understood about it. I will show that\, unlike in the one-dimensional case\, the closure of the multidimensional Lagrange s pectrum is equal to the interval between 0 and its supremum. The proof rel ies on a correspondence between Diophantine approximation and dynamics on the space of lattices and proceeds by studying a dynamical counterpart of the Lagrange spectrum. The latter is shown to be equal to the interval bet ween 0 and its maximum by means of an argument utilizing the higher rank n ature of the set-up. A passage from full dynamical spectrum to the density of the Diophantine spectrum is achieved by applying equidistribution of e xpanding translates of horospheres in the space of lattices. DTSTART;TZID=America/New_York:20261012T161000 DTEND;TZID=America/New_York:20261012T161000 LAST-MODIFIED:20261008T205527Z SUMMARY:Density of the multidimensional Lagrange spectrum URL;TYPE=URI:https://calendar.math.yale.edu/event/density-multidimensional- lagrange-spectrum END:VEVENT BEGIN:VEVENT UID:calendar.25350.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260902T001212Z DESCRIPTION:We resolve the Mean Convex Neighborhood Conjecture for mean cur vature flows in all dimensions and for all types of cylindrical singularit ies. Our proof relies on a complete classification of ancient\, asymptotic ally cylindrical flows. We prove that any such flow is non-collapsed\, con vex\, rotationally symmetric\, and belongs to one of three canonical famil ies: ancient ovals\, the bowl soliton\, or the flying wing translating sol itons. This is joint work with Richard Bamler.  DTSTART;TZID=America/New_York:20261013T160000 DTEND;TZID=America/New_York:20261013T160000 LAST-MODIFIED:20260915T141444Z LOCATION:KT 801 SUMMARY:Classification of ancient cylindrical mean curvature flows and the Mean Convex Neighborhood Conjecture URL;TYPE=URI:https://calendar.math.yale.edu/event/classification-ancient-cy lindrical-mean-curvature-flows-and-mean-convex-neighborhood END:VEVENT BEGIN:VEVENT UID:calendar.25382.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T164516Z DESCRIPTION:Abstract: I’ll explain a tweak to Clausen and Scholze’s theory of solid modules that is better-adapted to applications in geometry\, as o pposed to number theory. This theory replaces point-set topology when deal ing with objects like the field of formal Laurent series. For instance\, i t can be used to streamline deformation theory in infinite type. DTSTART;TZID=America/New_York:20261013T163000 DTEND;TZID=America/New_York:20261013T180000 LAST-MODIFIED:20261006T194254Z LOCATION:KT 221 SUMMARY:Solid modules in Algebraic geometry URL;TYPE=URI:https://calendar.math.yale.edu/event/solid-modules-algebraic-g eometry END:VEVENT BEGIN:VEVENT UID:calendar.25398.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260914T174636Z DESCRIPTION:The homotopy groups of spheres classify continuous functions fr om an n-dimensional sphere to an m-dimensional sphere up to continuous def ormation. They are of great interest as they control many classification p roblems in geometric topology\, but are rich and complicated. I will expla in some of what we know about them\, and describe the telescopic approach to understanding them systematically. I will then explain how algebraic K- theory has refined our understanding of the telescopic approach\, and can be used to obtain asymptotic lower bounds on the complexity of these homot opy groups that were previously out of reach. DTSTART;TZID=America/New_York:20261014T161500 DTEND;TZID=America/New_York:20261014T161500 LAST-MODIFIED:20261009T040541Z LOCATION:KT 101 SUMMARY:Homotopy groups of spheres and algebraic K-theory URL;TYPE=URI:https://calendar.math.yale.edu/event/homotopy-groups-spheres-a nd-algebraic-k-theory END:VEVENT BEGIN:VEVENT UID:calendar.25388.field_event_time.3@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T200953Z DTSTART;TZID=America/New_York:20261016T100000 DTEND;TZID=America/New_York:20261016T110000 LAST-MODIFIED:20261005T205553Z LOCATION:Kline Tower 801 SUMMARY:Friday morning seminar URL;TYPE=URI:https://calendar.math.yale.edu/event/friday-morning-seminar-68 END:VEVENT BEGIN:VEVENT UID:calendar.25410.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20261002T174634Z DTSTART;TZID=America/New_York:20261016T140000 DTEND;TZID=America/New_York:20261016T140000 LAST-MODIFIED:20261002T175925Z LOCATION:KT 801 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-92 END:VEVENT BEGIN:VEVENT UID:calendar.25357.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260902T155754Z DTSTART;TZID=America/New_York:20261019T163000 DTEND;TZID=America/New_York:20261019T163000 LAST-MODIFIED:20260910T145439Z LOCATION:KT 801 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-63 END:VEVENT BEGIN:VEVENT UID:calendar.25388.field_event_time.4@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T200953Z DTSTART;TZID=America/New_York:20261023T100000 DTEND;TZID=America/New_York:20261023T110000 LAST-MODIFIED:20261005T205553Z LOCATION:Kline Tower 801 SUMMARY:Friday morning seminar URL;TYPE=URI:https://calendar.math.yale.edu/event/friday-morning-seminar-68 END:VEVENT BEGIN:VEVENT UID:calendar.25367.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260908T194015Z DTSTART;TZID=America/New_York:20261026T161000 DTEND;TZID=America/New_York:20261026T161000 LAST-MODIFIED:20260911T121144Z SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-91 END:VEVENT BEGIN:VEVENT UID:calendar.25392.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T204214Z DTSTART;TZID=America/New_York:20261026T163000 DTEND;TZID=America/New_York:20261026T180000 LAST-MODIFIED:20260910T204442Z LOCATION:KT 801 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-121 END:VEVENT BEGIN:VEVENT UID:calendar.25358.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260902T160735Z DTSTART;TZID=America/New_York:20261026T163000 DTEND;TZID=America/New_York:20261026T163000 LAST-MODIFIED:20260909T190351Z LOCATION:KT 801 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-72 END:VEVENT BEGIN:VEVENT UID:calendar.25351.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260902T001409Z DESCRIPTION:TBA DTSTART;TZID=America/New_York:20261027T160000 DTEND;TZID=America/New_York:20261027T160000 LAST-MODIFIED:20260902T001409Z LOCATION:KT 801 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-57 END:VEVENT BEGIN:VEVENT UID:calendar.25355.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260902T144409Z DESCRIPTION: Physics has long supplied mathematics with some of its central equations. I will argue that Transformers\, the engine of large language models\, are becoming a source of the same kind. Starting from raw code\, under various scaling assumptions\, one can interpret Transformers as an i nteracting particle system in continuous time\; tools from PDE and kinetic theory then explain empirically observed phenomena such as representation collapse and “lost in the middle”. Unlike in physics\, however\, the laws here are designed rather than given\, so mathematical understanding can b e written back into the architecture. I will close with some thoughts on w hat this two-way exchange means for applied mathematics. DTSTART;TZID=America/New_York:20261028T160000 DTEND;TZID=America/New_York:20261028T160000 LAST-MODIFIED:20260903T144823Z LOCATION:KT 801 SUMMARY:A mathematical perspective on Transformers URL;TYPE=URI:https://calendar.math.yale.edu/event/mathematical-perspective- transformers END:VEVENT BEGIN:VEVENT UID:calendar.25388.field_event_time.5@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T200953Z DTSTART;TZID=America/New_York:20261030T100000 DTEND;TZID=America/New_York:20261030T230000 LAST-MODIFIED:20261005T205553Z LOCATION:Kline Tower 801 SUMMARY:Friday morning seminar URL;TYPE=URI:https://calendar.math.yale.edu/event/friday-morning-seminar-68 END:VEVENT BEGIN:VEVENT UID:calendar.25359.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260902T160958Z DTSTART;TZID=America/New_York:20261102T163000 DTEND;TZID=America/New_York:20261102T163000 LAST-MODIFIED:20260902T181700Z SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-86 END:VEVENT BEGIN:VEVENT UID:calendar.25380.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T164126Z DTSTART;TZID=America/New_York:20261103T163000 DTEND;TZID=America/New_York:20261103T180000 LAST-MODIFIED:20260917T141145Z LOCATION:KT 221 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-103 END:VEVENT BEGIN:VEVENT UID:calendar.25406.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260923T225717Z DTSTART;TZID=America/New_York:20261104T161500 DTEND;TZID=America/New_York:20261104T171500 LAST-MODIFIED:20260923T225717Z LOCATION:TBD SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-53 END:VEVENT BEGIN:VEVENT UID:calendar.25408.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260928T204116Z DTSTART;TZID=America/New_York:20261105T160000 DTEND;TZID=America/New_York:20261105T160000 LAST-MODIFIED:20260928T204116Z LOCATION:KT 201 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-54 END:VEVENT BEGIN:VEVENT UID:calendar.25388.field_event_time.6@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T200953Z DTSTART;TZID=America/New_York:20261106T100000 DTEND;TZID=America/New_York:20261106T110000 LAST-MODIFIED:20261005T205553Z LOCATION:Kline Tower 801 SUMMARY:Friday morning seminar URL;TYPE=URI:https://calendar.math.yale.edu/event/friday-morning-seminar-68 END:VEVENT BEGIN:VEVENT UID:calendar.25412.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20261005T182201Z DTSTART;TZID=America/New_York:20261106T140000 DTEND;TZID=America/New_York:20261106T140000 LAST-MODIFIED:20261005T182201Z SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-115 END:VEVENT BEGIN:VEVENT UID:calendar.25345.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260827T030419Z DTSTART;TZID=America/New_York:20261109T161000 DTEND;TZID=America/New_York:20261109T161000 LAST-MODIFIED:20260911T121341Z SUMMARY:TBD URL;TYPE=URI:https://calendar.math.yale.edu/event/tbd END:VEVENT BEGIN:VEVENT UID:calendar.25393.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T204341Z DTSTART;TZID=America/New_York:20261109T163000 DTEND;TZID=America/New_York:20261109T180000 LAST-MODIFIED:20260910T204942Z LOCATION:KT 801 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-122 END:VEVENT BEGIN:VEVENT UID:calendar.25352.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260902T001535Z DESCRIPTION:TBA DTSTART;TZID=America/New_York:20261110T160000 DTEND;TZID=America/New_York:20261110T160000 LAST-MODIFIED:20260902T001535Z LOCATION:KT 801 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-59 END:VEVENT BEGIN:VEVENT UID:calendar.25381.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T164225Z DTSTART;TZID=America/New_York:20261112T163000 DTEND;TZID=America/New_York:20261112T163000 LAST-MODIFIED:20260917T141030Z SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-98 END:VEVENT BEGIN:VEVENT UID:calendar.25388.field_event_time.7@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T200953Z DTSTART;TZID=America/New_York:20261113T100000 DTEND;TZID=America/New_York:20261113T110000 LAST-MODIFIED:20261005T205553Z LOCATION:Kline Tower 801 SUMMARY:Friday morning seminar URL;TYPE=URI:https://calendar.math.yale.edu/event/friday-morning-seminar-68 END:VEVENT BEGIN:VEVENT UID:calendar.25347.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260901T011929Z DTSTART;TZID=America/New_York:20261116T161000 DTEND;TZID=America/New_York:20261116T161000 LAST-MODIFIED:20260911T121421Z SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-124 END:VEVENT BEGIN:VEVENT UID:calendar.25394.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T205044Z DTSTART;TZID=America/New_York:20261116T163000 DTEND;TZID=America/New_York:20261116T180000 LAST-MODIFIED:20260910T205044Z LOCATION:KT 801 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-123 END:VEVENT BEGIN:VEVENT UID:calendar.25383.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T164631Z DTSTART;TZID=America/New_York:20261117T163000 DTEND;TZID=America/New_York:20261117T180000 LAST-MODIFIED:20260917T141116Z LOCATION:KT 221 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-104 END:VEVENT BEGIN:VEVENT UID:calendar.25388.field_event_time.8@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T200953Z DTSTART;TZID=America/New_York:20261120T100000 DTEND;TZID=America/New_York:20261120T110000 LAST-MODIFIED:20261005T205553Z LOCATION:Kline Tower 801 SUMMARY:Friday morning seminar URL;TYPE=URI:https://calendar.math.yale.edu/event/friday-morning-seminar-68 END:VEVENT BEGIN:VEVENT UID:calendar.25360.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260902T161056Z DTSTART;TZID=America/New_York:20261130T163000 DTEND;TZID=America/New_York:20261130T163000 LAST-MODIFIED:20260902T181722Z LOCATION:KT 801 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-87 END:VEVENT BEGIN:VEVENT UID:calendar.25353.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260902T001643Z DESCRIPTION:TBA DTSTART;TZID=America/New_York:20261201T160000 DTEND;TZID=America/New_York:20261201T160000 LAST-MODIFIED:20260902T001643Z LOCATION:KT 801 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-60 END:VEVENT BEGIN:VEVENT UID:calendar.25384.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T164744Z DTSTART;TZID=America/New_York:20261201T163000 DTEND;TZID=America/New_York:20261201T180000 LAST-MODIFIED:20260917T141225Z LOCATION:KT 221 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-106 END:VEVENT BEGIN:VEVENT UID:calendar.25388.field_event_time.9@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T200953Z DTSTART;TZID=America/New_York:20261204T100000 DTEND;TZID=America/New_York:20261204T110000 LAST-MODIFIED:20261005T205553Z LOCATION:Kline Tower 801 SUMMARY:Friday morning seminar URL;TYPE=URI:https://calendar.math.yale.edu/event/friday-morning-seminar-68 END:VEVENT BEGIN:VEVENT UID:calendar.25385.field_event_time.0@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T164848Z DTSTART;TZID=America/New_York:20261208T163000 DTEND;TZID=America/New_York:20261208T180000 LAST-MODIFIED:20260917T141306Z LOCATION:KT 221 SUMMARY:TBA URL;TYPE=URI:https://calendar.math.yale.edu/event/tba-109 END:VEVENT BEGIN:VEVENT UID:calendar.25388.field_event_time.10@calendar.math.yale.edu DTSTAMP:20261009T141508Z CREATED:20260910T200953Z DTSTART;TZID=America/New_York:20261211T100000 DTEND;TZID=America/New_York:20261211T110000 LAST-MODIFIED:20261005T205553Z LOCATION:Kline Tower 801 SUMMARY:Friday morning seminar URL;TYPE=URI:https://calendar.math.yale.edu/event/friday-morning-seminar-68 END:VEVENT END:VCALENDAR