BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:no seminar today DTSTART:20240213T160000Z DTEND:20240213T170000Z DTSTAMP:20260404T111325Z UID:voganish/1 DESCRIPTION:by no seminar today as part of Canadian Rockies Representation Theory\n\nLecture held in Zoom and MS337.\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/voganish/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Sarah Dijols (University of British Columbia) DTSTART:20240206T160000Z DTEND:20240206T170000Z DTSTAMP:20260404T111325Z UID:voganish/2 DESCRIPTION:Title: Why discrete and tempered Langlands parameters are open\nby Sa rah Dijols (University of British Columbia) as part of Canadian Rockies Re presentation Theory\n\nLecture held in Zoom and MS337.\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/voganish/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Mishty Ray (University of Calgary) DTSTART:20240220T170000Z DTEND:20240220T180000Z DTSTAMP:20260404T111325Z UID:voganish/3 DESCRIPTION:Title: Functoriality of ABV-packets\nby Mishty Ray (University of Cal gary) as part of Canadian Rockies Representation Theory\n\nLecture held in Zoom and MS337.\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/voganish/3/ END:VEVENT BEGIN:VEVENT SUMMARY:José Cruz (University of Calgary) DTSTART:20240227T160000Z DTEND:20240227T170000Z DTSTAMP:20260404T111325Z UID:voganish/4 DESCRIPTION:Title: Playing around with the function sheaf dictionary and the Fourier Transform\nby José Cruz (University of Calgary) as part of Canadian R ockies Representation Theory\n\nLecture held in Zoom and MS337.\n\nAbstrac t\nIn this talk I will first introduce Grothendieck’s function sheaf dic tionary and show you\nhow we can use it to understand perverse sheaves. Th en\, we will use the dictionary to\nsee how the Fourier transform functor acts on some examples on the geometric side of\nVogan’s persepective of the local Langlands correspondence.\n LOCATION:https://stable.researchseminars.org/talk/voganish/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Monica Nevins (University of Ottawa) DTSTART:20240305T160000Z DTEND:20240305T170000Z DTSTAMP:20260404T111325Z UID:voganish/5 DESCRIPTION:Title: Representations of SL(2) near the identity\nby Monica Nevins ( University of Ottawa) as part of Canadian Rockies Representation Theory\n\ nLecture held in Zoom and MS337.\n\nAbstract\nThe character of an admissib le representation $\\pi$ of a $p$-adic group $G$ can be expressed\, in a n eighbourhood of the identity\, as a linear combination of functions arisin g from the finitely many nilpotent orbits. In this talk\, we propose an in terpretation of the local character expansion as branching rules of the re striction of $\\pi$ to a compact open subgroup and illustrate this explici tly with the example of $\\mathrm{SL}(2).$\n LOCATION:https://stable.researchseminars.org/talk/voganish/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Geoff Vooys - Deferred (Mount Allison University) DTSTART:20240319T150000Z DTEND:20240319T160000Z DTSTAMP:20260404T111325Z UID:voganish/6 DESCRIPTION:Title: Equivariant Beilinson's Theorem and Extensions of Equivariant Perv erse Sheaves\nby Geoff Vooys - Deferred (Mount Allison University) as part of Canadian Rockies Representation Theory\n\nLecture held in Zoom and MS337.\n\nAbstract\nBeilinson's Theorem is an important theorem in algebr aic geometry that says there is a triangulated equivalence of categories $ D^bc(X\;\\overline{\\mathbb{Q}}{\\ell}) \\simeq D^b(\\mathbf{Perv}(X\;\\ov erline{\\mathbb{\\Q}}{\\ell}))$ fixing the category of perverse sheaves fo r any variety $X$ over an algebraically closed field $K$ with $\\ell$ a po sitive integer prime distinct from the characteristic of $K$. While a resu lt of fundamental importance\, as it allows the computation of extensions between perverse sheaves in the derived category on $X$ to be performed in their own bounded derived category\, the equivariant version of this resu lt has been elusive and known in general only for complex varieties with a ctions by finite complex algebraic groups. In this talk I'll discuss a gen eral proof for an equivariant version of Beilinson's Theorem\, i.e.\,a tri angulated equivalence $D^b_G(X\;\\overline{\\mathbb{Q}}{\\ell}) \\simeq D ^bG(\\mathbf{Perv}(X\;\\overline{\\mathbb{Q}}{\\ell}))$ which fixes the ca tegory of equivariant perverse sheaves valid for any variety equipped with an action by a smooth algebraic group $G$ over a field $K$. Afterwards I' ll give a short discussion as well about what this means for equivariant e xtensions between equivariant perverse sheaves.\n LOCATION:https://stable.researchseminars.org/talk/voganish/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Chi-Heng Lo (Purdue) DTSTART:20240312T150000Z DTEND:20240312T160000Z DTSTAMP:20260404T111325Z UID:voganish/7 DESCRIPTION:Title: An upper bound for wavefront sets of admissible representations of p-adic groups\nby Chi-Heng Lo (Purdue) as part of Canadian Rockies Re presentation Theory\n\nLecture held in Zoom and MS337.\n\nAbstract\nThe Vo gan conjecture states that local Arthur packets match ABV-packets for L-pa rameters of Arthur type. Thus\, it is expected that the properties of loca l Arthur packets should hold for the corresponding ABV-packets\, and vice versa. In the first part of this talk\, I will recall some basic propertie s of these packets\, and state the closure ordering conjecture on local Ar thur pacekts and Aubert-Zelevinsky dual conjecture on ABV-packets. In the second part\, I will introduce a new conjecture on upper bounds of wavefro nt set\, Jiang's conjecture on wavefront set for local Arthur packets and for ABV-packets. I will show that these three conjectures are all equivale nt assuming the two conjectures in the first part hold\, and reduce these conjectures to the anti-discrete case. This is a joint work with Alexander Hazeltine\, Baiying Liu and Freydoon Shahidi.\n LOCATION:https://stable.researchseminars.org/talk/voganish/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Geoff Vooys (Mount Allison University) DTSTART:20240326T150000Z DTEND:20240326T160000Z DTSTAMP:20260404T111325Z UID:voganish/8 DESCRIPTION:Title: Equivariant Beilinson's Theorem and Extensions of Equivariant Perv erse Sheaves\nby Geoff Vooys (Mount Allison University) as part of Can adian Rockies Representation Theory\n\nLecture held in Zoom and MS337.\n\n Abstract\nBeilinson's Theorem is an important theorem in algebraic geometr y that says there is a triangulated equivalence of categories $D^bc(X\;\\o verline{\\mathbb{Q}}{\\ell}) \\simeq D^b(\\mathbf{Perv}(X\;\\overline{\\ma thbb{\\Q}}{\\ell}))$ fixing the category of perverse sheaves for any varie ty $X$ over an algebraically closed field $K$ with $\\ell$ a positive inte ger prime distinct from the characteristic of $K$. While a result of funda mental importance\, as it allows the computation of extensions between per verse sheaves in the derived category on $X$ to be performed in their own bounded derived category\, the equivariant version of this result has been elusive and known in general only for complex varieties with actions by f inite complex algebraic groups. In this talk I'll discuss a general proof for an equivariant version of Beilinson's Theorem\, i.e.\,a triangulated e quivalence $D^b_G(X\;\\overline{\\mathbb{Q}}{\\ell}) \\simeq D^bG(\\mathb f{Perv}(X\;\\overline{\\mathbb{Q}}{\\ell}))$ which fixes the category of e quivariant perverse sheaves valid for any variety equipped with an action by a smooth algebraic group $G$ over a field $K$. Afterwards I'll give a s hort discussion as well about what this means for equivariant extensions b etween equivariant perverse sheaves.\n\nI'll try to keep the category theo ry in this talk to as gentle a level as possible and at as understandable a level as possible as well\, so please ask questions as we go!\n LOCATION:https://stable.researchseminars.org/talk/voganish/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Leticia Barchini - Postponed (Oklahoma State University) DTSTART:20240429T150000Z DTEND:20240429T160000Z DTSTAMP:20260404T111325Z UID:voganish/9 DESCRIPTION:Title: Relations between Kazhdan-Lusztig polynomials for real and p-adic groups\nby Leticia Barchini - Postponed (Oklahoma State University) as part of Canadian Rockies Representation Theory\n\nLecture held in Zoom an d MS337.\n\nAbstract\nWe relate certain Kazhdan-Lusztig polynomials that a rise in the representation\ntheory of real and $p$-adic groups. The polyno mials encode the multiplicity of irreducible\nrepresentations in standard ones. In both\, the real and p-adic setting\, there are relevant\ngeometri c parameters that index both irreducible and standard modules. I will brie fly\nreview the geometric setting. Next\, I will discuss earlier contribut ions by Zelevinski and\nby Ciubotaru-Trapa. In presenting new results\, I will emphasize examples. I will explain\nhow\, under assumptions\, these r esults imply that the decomposition matrix for a class of\nunipotent repre sentation of split $p$-adic groups is a submatrix of the decomposition mat rix\nof representations of split real groups.\n LOCATION:https://stable.researchseminars.org/talk/voganish/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Elad Zelingher (University of Michigan) DTSTART:20240507T150000Z DTEND:20240507T160000Z DTSTAMP:20260404T111325Z UID:voganish/10 DESCRIPTION:Title: Kloosterman sums in representation theory of $GL(n\, \\mathbb{F}_ q)$.\nby Elad Zelingher (University of Michigan) as part of Canadian R ockies Representation Theory\n\nLecture held in Zoom and MS337.\n\nAbstrac t\nGiven a "nice" irreducible representation of $GL(n\, \\mathbb{F}_q)$\, one can define a special matrix coefficient attached to it\, called the Be ssel function. Often Kloosterman sums show up as special values of these B essel functions. In this talk\, I will first explain my previous results r egarding special values of Bessel functions of generic representations. I will then talk about my joint work with Oded Carmon regarding special valu es of Bessel functions associated to Speh representations and their relati on to matrix Kloosterman sums.\n LOCATION:https://stable.researchseminars.org/talk/voganish/10/ END:VEVENT BEGIN:VEVENT SUMMARY:No seminar DTSTART:20240430T150000Z DTEND:20240430T160000Z DTSTAMP:20260404T111325Z UID:voganish/11 DESCRIPTION:by No seminar as part of Canadian Rockies Representation Theor y\n\nLecture held in Zoom and MS337.\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/voganish/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Mathilde Gerbelli-Gauthier (McGill University) DTSTART:20240423T150000Z DTEND:20240423T160000Z DTSTAMP:20260404T111325Z UID:voganish/12 DESCRIPTION:Title: Counting non-tempered automorphic forms using endoscopy\nby M athilde Gerbelli-Gauthier (McGill University) as part of Canadian Rockies Representation Theory\n\nLecture held in Zoom and MS337.\n\nAbstract\nHow many automorphic representations of level n have a specified local factor at the infinite places? When this local factor is a discrete series repres entation\, this question is asymptotically well-undersertood as n grows. N on-tempered local factors\, on the other hand\, violate the Ramanujan conj ecture and should be very rare. We use the endoscopic classification for r epresentations to quantify this rarity in the case of cohomological repres entations of unitary groups\, and discuss some applications to the growth of cohomology of Shimura varieties\n LOCATION:https://stable.researchseminars.org/talk/voganish/12/ END:VEVENT BEGIN:VEVENT SUMMARY:Leticia Barchini (Oklahoma State University) DTSTART:20240514T150000Z DTEND:20240514T160000Z DTSTAMP:20260404T111325Z UID:voganish/13 DESCRIPTION:Title: Relations between Kazhdan-Lusztig polynomials for real and p-adic groups\nby Leticia Barchini (Oklahoma State University) as part of Ca nadian Rockies Representation Theory\n\nLecture held in Zoom and MS337.\n\ nAbstract\nWe relate certain Kazhdan-Lusztig polynomials that arise in the representation\ntheory of real and $p$-adic groups. The polynomials encod e the multiplicity of irreducible\nrepresentations in standard ones. In bo th\, the real and p-adic setting\, there are relevant\ngeometric parameter s that index both irreducible and standard modules. I will briefly\nreview the geometric setting. Next\, I will discuss earlier contributions by Zel evinski and\nby Ciubotaru-Trapa. In presenting new results\, I will emphas ize examples. I will explain\nhow\, under assumptions\, these results impl y that the decomposition matrix for a class of\nunipotent representation o f split $p$-adic groups is a submatrix of the decomposition matrix\nof rep resentations of split real groups.\n LOCATION:https://stable.researchseminars.org/talk/voganish/13/ END:VEVENT BEGIN:VEVENT SUMMARY:Peter Dillery (University of Maryland) DTSTART:20250414T190000Z DTEND:20250414T203000Z DTSTAMP:20260404T111325Z UID:voganish/14 DESCRIPTION:Title: New versions of the refined local Langlands correspondence\nb y Peter Dillery (University of Maryland) as part of Canadian Rockies Repre sentation Theory\n\nLecture held in Zoom and Clifton's office.\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/voganish/14/ END:VEVENT BEGIN:VEVENT SUMMARY:Chi-Heng Lo (Purdue University) DTSTART:20250428T190000Z DTEND:20250428T203000Z DTSTAMP:20260404T111325Z UID:voganish/15 DESCRIPTION:Title: Desiderata and Uniqueness of the Local Langlands Correspondence\nby Chi-Heng Lo (Purdue University) as part of Canadian Rockies Represe ntation Theory\n\nLecture held in Zoom and Clifton's office.\n\nAbstract\n The local Langlands conjecture predicts a "canonical" bijection between th e set of smooth irreducible representations of a p-adic reductive algebrai c group G and the set of enhanced L-parameter of G\, known as the local La nglands correspondence (LLC). There are several constructions of LLC\, eit her on specific types of groups or on special classes of representations. The comparison between different constructions of LLC is a non-trivial pro blem. In this talk\, I will introduce a list of desiderata of LLC for gene ral quasi-split p-adic group G. Then\, I will show that when p is sufficie ntly large\, the LLC that satisfies these desiderata is unique (if it exis ts). This is a joint work with Tasho Kaletha and Cheng-Chiang Tsai.\n LOCATION:https://stable.researchseminars.org/talk/voganish/15/ END:VEVENT BEGIN:VEVENT SUMMARY:Lucas Mason-Brown (UT Austin) DTSTART:20250512T190000Z DTEND:20250512T203000Z DTSTAMP:20260404T111325Z UID:voganish/16 DESCRIPTION:Title: Unitary Representations and the Langlands Classification\nby Lucas Mason-Brown (UT Austin) as part of Canadian Rockies Representation T heory\n\nLecture held in Zoom and Clifton's office.\n\nAbstract\nLet $G(k) $ be the $k$-points of a connected reductive algebraic group defined over a local field $k$. A fundamental unsolved problem in representation theory and harmonic analysis is to classify the set of irreducible unitary repre sentations of $G(k)$. The Langlands classification provides a (partly conj ectural) description of the much larger set of irreducible admissible repr esentations of $G(k)$ in terms of sheaves on a space of Langlands paramete rs. But what does this classification tell us about unitary representation s? In this talk\, I will explain what is known in general about the answer to this question.\n LOCATION:https://stable.researchseminars.org/talk/voganish/16/ END:VEVENT BEGIN:VEVENT SUMMARY:Sarah Meier (Bielefeld University) DTSTART:20250526T190000Z DTEND:20250526T203000Z DTSTAMP:20260404T111325Z UID:voganish/17 DESCRIPTION:Title: Emerton’s Functor of Ordinary Parts\nby Sarah Meier (Bielef eld University) as part of Canadian Rockies Representation Theory\n\nLectu re held in Zoom and Clifton's office.\n\nAbstract\nEmerton's Ordinary Part s functor $Ord$ plays an important role in the theory of mod $p$ represent ations of $p$-adic reductive groups.\nThe right derived functors of $Ord$ are conjectured by Emerton to be given in terms of group cohomology.\nIn t his talk I will discuss a proof of a variant of this conjecture. A key ste p in this proof is a comparison between certain compact and parabolic indu ctions which I will explain for an example. \nThis is based on joint work with Manuel Hoff and Michael Spieß.\n LOCATION:https://stable.researchseminars.org/talk/voganish/17/ END:VEVENT BEGIN:VEVENT SUMMARY:Leticia Barchini (Oklahoma State University) DTSTART:20250630T190000Z DTEND:20250630T203000Z DTSTAMP:20260404T111325Z UID:voganish/19 DESCRIPTION:Title: Microlocal packets for G_2\nby Leticia Barchini (Oklahoma Sta te University) as part of Canadian Rockies Representation Theory\n\nLectur e held in Zoom and MS-337.\n\nAbstract\nThe first half of the talk will fo cus on the [ABV] microlocal packets for G2(R) when\nthe infinitesimal char acter is either regular dominant or [1\, 0]. I will give a brief review of \ndefinitions and techniques used to explicitly find those packets.\nIn th e second half of the talk I will relate our computations to the work of ot hers. In\nparticular\, I will compare the G2(R) microlocal packets at [1\, 0] to the Arthur packets of\nCunningham-Fiori-Zhang. I will also relate o ur work to computations done by Andr´as\nLorincz.\n LOCATION:https://stable.researchseminars.org/talk/voganish/19/ END:VEVENT BEGIN:VEVENT SUMMARY:Kristaps Balodis DTSTART:20250714T190000Z DTEND:20250714T203000Z DTSTAMP:20260404T111325Z UID:voganish/20 DESCRIPTION:Title: The p-adic Kazhdan-Lusztig hypothesis\, generic representations\, and orbits of smooth closure\nby Kristaps Balodis as part of Canadian Rockies Representation Theory\n\nLecture held in Zoom and MS-337.\n\nAbst ract\nBuilding on the work of Zelevisnky and the cases for real and comple x groups\, Davis Vogan purposed a p-adic Kazhdan-Lusztig hypothesis: The d imensions of stalks of perverse sheaves on certain varieties of Langlands parameters\, should coincide with multiplicities of irreducible representa tions of in "standard" representations. Moreover\, Vogan defined what we call ABV-packets in terms of the microlocal geometry of the varieties of L anglands parameters\, and purposed that these coincide with Arthur's A-pac kets.\n\nWe will discuss recent work which\, under the assumption of the p -KLH\, proves (various cases of) a conjecture of Gross-Prasad that an L-pa cket contains a generic representation if and only if the associated adjoi nt L-function is regular at s=1. We will also explore implications for Sh ahidi's enhanced genericity conjecture\, an analogue for ABV-packets\, and the role of orbits with smooth closure.\n LOCATION:https://stable.researchseminars.org/talk/voganish/20/ END:VEVENT END:VCALENDAR