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DTSTART:20260308T070000
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BEGIN:VEVENT
UID:6a2b0c4275707
DTSTART;TZID=America/Toronto:20260617T153000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260617T170000
URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-194
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:JACQUES VAN WYK\, UNIVERSITY OF WATERLOO\n\n_Generalised Comple
 x Structures on Products of Lie Groups_\n\nLet \\(M\\) be an even-dimens
 ional manifold\, and let \\(H\\) be a\nclosed three-form on \\(M\\). An
  \\(H\\)-twisted generalised complex\nstructure on \\(M\\) is an endomo
 rphism of \\(TM \\oplus T^*M\\)which\nsquares to −1\, preserves the nat
 ural pseudometric of \\(TM \\oplus\nT^*M\\)\, and whose \\(i\\)-eigenbund
 le is closed under the \\(H\\)-twisted\nDorfman bracket. A natural questio
 n is given a fixed closed\nthree-form \\(H\\) on \\(M\\)\, does there exi
 st an \\(H\\)-twisted\ngeneralised complex structure on \\(M\\)? We explor
 e this question for\nproducts of compact simple Lie groups. This is motiva
 ted by Marco\nGualtieri’s result that any even-dimensional Lie group wit
 h a\nbiinvariant metric admits a generalised complex structure.\n\nMC 4058
DTSTAMP:20260611T192802Z
END:VEVENT
BEGIN:VEVENT
UID:6a2b0c4277f96
DTSTART;TZID=America/Toronto:20260618T133000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260618T150000
URL:https://uwaterloo.ca/pure-mathematics/events/computability-learning-sem
 inar-173
SUMMARY:Computability Learning Seminar
CLASS:PUBLIC
DESCRIPTION:BEINING MU\, UNIVERSITY OF WATERLOO\n\n_Thickness Lemma and Inf
 inite Injury Priority Argument _\n\nIn this talk\, I will present Strong T
 hickness Lemma\, which states that\nevery piecewise computable c.e. set ha
 s a thick subset which lies\noutside of an upper cone of a non-computable 
 c.e. set\, as an example\nof infinite injury priority argument. In additio
 n\, I will discuss how\nthickness lemma implies the lack of least upper bo
 und for infinite\nascending c.e. degrees.\n\nMC 5403
DTSTAMP:20260611T192802Z
END:VEVENT
BEGIN:VEVENT
UID:6a2b0c42789b5
DTSTART;TZID=America/Toronto:20260617T140000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260617T153000
URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-193
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:ALEX PAWELKO\, UNIVERSITY OF WATERLOO\n\n_Adiabatic Limits of C
 oassociative Fibrations_\n\nI will be going through Donaldson’s paper 
 ”Adiabatic limits of\nco-associative KovalevLefschetz fibrations”.\n\n
 MC 4058
DTSTAMP:20260611T192802Z
END:VEVENT
BEGIN:VEVENT
UID:6a2b0c4279293
DTSTART;TZID=America/Toronto:20260618T110000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260618T120000
URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working
 -seminar-102
SUMMARY:Algebraic Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:JIAHUI HUANG\, UNIVERSITY OF WATERLOO\n\n_Motivic Integration o
 n Artin Stacks_\n\nWe discuss the twisted arc space of Artin stacks and ne
 cessary\nmodifications to perform motivic integration on them.\n\nMC 5403
DTSTAMP:20260611T192802Z
END:VEVENT
BEGIN:VEVENT
UID:6a2b0c4279ad6
DTSTART;TZID=America/Toronto:20260611T110000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260611T120000
URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-seminar
 -15
SUMMARY:Algebraic Geometry Seminar
CLASS:PUBLIC
DESCRIPTION:MATTHEW SATRIANO\, UNIVERSITY OF WATERLOO\n\n_An introduction t
 o toric stacks_\n\nToric stacks are a tractable subclass of stacks due to 
 their\ncombinatorial structure. They can serve as an introduction to stack
 s\nin the same way that toric varieties can be an introduction to\nschemes
 . We will show how one can gain insight into the geometry of\ntoric stacks
  with simple pictures of fans and marked points.\n\nMC 5403
DTSTAMP:20260611T192802Z
END:VEVENT
BEGIN:VEVENT
UID:6a2b0c427a328
DTSTART;TZID=America/Toronto:20260612T113000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260612T123000
URL:https://uwaterloo.ca/pure-mathematics/events/ergodic-theory-learning-se
 minar-3
SUMMARY:Ergodic Theory Learning Seminar
CLASS:PUBLIC
DESCRIPTION:JULIUS FRIZZELL\, UNIVERSITY OF WATERLOO\n\n_Generic Measures_\
 n\nWe will begin to discuss generic measures and their applications to\ner
 godic theory in proving Roth’s theorem.\n\nMC 5417
DTSTAMP:20260611T192802Z
END:VEVENT
BEGIN:VEVENT
UID:6a2b0c427ab29
DTSTART;TZID=America/Toronto:20260611T163000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260611T173000
URL:https://uwaterloo.ca/pure-mathematics/events/quantum-catalyst-seminar
SUMMARY:Quantum Catalyst Seminar
CLASS:PUBLIC
DESCRIPTION:OLIVIER LALONDE\, UNIVERSITY OF WATERLOO\n\n_Quantum chromatic 
 numbers\, orthogonal representations\, and the\nHadamard’conjecture_\n\n
 Cameron\, Montanaro\, Newman\, Severini and Winter gave a construction\nwh
 ich shows that\, for \\(n \\in \\{2\,4\,8\\}\\) any graph _G_ which\na
 dmits a real \\(n\\)-dimensional orthogonal representation\nsatisfies \\(
 \\chi_q(G) \\leq n\\).This result can be recast as the\nstatement that \\
 (\\chi_q(S^{n-1}_\\mathbb{R}) = n\\)  for these values\nof \\(n\\)\, whe
 re \\(S^{n-1}_\\mathbb{F}\\) stands for the orthogonality\ngraph of the 
 unit sphere in \\(\\mathbb{F}^n\\). We investigate possible\nextensions o
 f their construction. We first show that their hypothesis\nthat the orthog
 onal representation be real-valued is required by\nproving that \\(\\chi_
 q(S^{n-1}_\\mathbb{C}) &gt; n\\) for all \\(n \\geq\n3\\). We also exhibit 
 a finite\nsubgraph \\(G_{19}\\) of \\(S^{2}_\\mathbb{C}\\)  and show t
 hat \\(k+4\n= \\chi_q^{(1)}(G_{19} \\vee K_k) &gt; \\xi_{\\mathbb{C}}(G_{19}
  \\vee K_k) =\nk+3\\) for all \\(k\\)\, so that the joins \\(G_{19} \\v
 ee K_k\\) form a\nfamily of finitary witnesses of the aforementioned sepa
 ration for the\nspecial case of rank-one colorings. As a byproduct\, we sh
 ow\nthat \\(\\xi_\\mathbb{R}(G_{19}) = 4\\)\, thereby separating the real
  and\ncomplex orthogonal ranks. For the case of the real sphere\, we show\
 nthat \\(\\chi_q(S^{n-1}_\\mathbb{R}) &gt; n\\) whenever \\(n \\neq\n2\\)
  and \\(n\\) is not a multiple of 4. On the other hand\, we show\nthat
  \\(\\chi_q(S^{n-1}_\\mathbb{R}) = n\\) does does hold whenever a\nHadam
 ard matrix of order \\(n\\) exists. Hence\, assuming the Hadamard\nconjec
 ture\, it follows that the CMNSW construction can be extended to\nreal \\(
 n\\)-dimensional orthogonal representations if and only\nif \\(n=2\\) or
  \\(n\\) is a multiple of 4. Our method of proof\ninvolves showing the e
 quivalence between the existence of such a\nconstruction and the ability t
 o find a maximal code space for\nClifford-algebraic errors given a clean a
 ncilla\, and we believe that\nthe representation-theoretic techniques we u
 se for tackling the latter\nproblem could be of independent interest. It a
 lso follows from this\nequivalence that \\(\\chi^{(1)}_q(S^{n-1}_\\mathbb
 {R}) = n\\) if and\nonly if \\(n \\in \\{2\,4\,8\\}\\)\, thereby settlin
 g a conjecture of Zeng\nand Zhang.\n\nQNC 1201
DTSTAMP:20260611T192802Z
END:VEVENT
BEGIN:VEVENT
UID:6a2b0c427b63d
DTSTART;TZID=America/Toronto:20260612T153000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260612T163000
URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-51
SUMMARY:Geometry and Topology Seminar
CLASS:PUBLIC
DESCRIPTION:TOMMASO PACINI\, UNIVERSITY OF TORINO\n\n_Anisotropic calibrati
 ons\, adiabatic limits\, and mirror symmetry_\n\nCalibrations\, adiabatic 
 limits and Fueter maps play an important role\nin the theory of man ifolds
  with special holonomy and in the\ncorresponding gauge theory. The goal of
  this seminar is to show how\nthey can be fitted into a very general frame
 work\, defined via\ndistributions and the concept of “anisotropic calibr
 ations”. This\nframework (i) applies in a uniform way across special hol
 onomy\, (ii)\nprovides an identification between certain Fueter maps and c
 alibrated\nsubmanifolds\, (iii) introduces new degrees of freedom which ma
 y be\nuseful towards genericity arguments\, (iv) provides techniques for b
 oth\nexplicit and abstract existence results for Fueter maps. This is join
 t\nwork with Kotaro Kawai (BIMSA\, China). The seminar will be largely\nno
 n-technical. Details can be found in the arXiv paper with the same\ntitle.
 \n\nMC 5403
DTSTAMP:20260611T192802Z
END:VEVENT
BEGIN:VEVENT
UID:6a2b0c427bed7
DTSTART;TZID=America/Toronto:20260611T133000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260611T150000
URL:https://uwaterloo.ca/pure-mathematics/events/computability-learning-sem
 inar-172
SUMMARY:Computability Learning Seminar
CLASS:PUBLIC
DESCRIPTION:BEINING MU\, UNIVERSITY OF WATERLOO\n\n_Sacks' Splitting Theore
 m_\n\nIn this talk\, I will present Sacks’ Splitting Theorem\, which sta
 tes\nthat every nonzero computably enumerable degree can be split into the
 \njoin of two strictly lower computably enumerable degrees\, as an\nexampl
 e of finite injury priority argument. I will discuss two\ndifferent proofs
  of the theorem\, one of which is the classical way of\nhow people think a
 bout finite injury arguments\, while the other is a\nmodern way of present
 ing a priority argument where a priority tree is\ninvolved.\n\nMC 5403
DTSTAMP:20260611T192802Z
END:VEVENT
BEGIN:VEVENT
UID:6a2b0c427c7e0
DTSTART;TZID=America/Toronto:20260610T140000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260610T170000
URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-192
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:BENOIT CHARBONNEAU\, UNIVERSITY OF WATERLOO\n\n_Invariant conne
 ctions and Wang’s theorem_\n\nIn this working seminar\, we will study th
 e classification result for\ninvariant connections on principal bundles on
  homogeneous spaces\nproved by Hsien-Chung Wang in 1958 and learn\, to par
 aphrase Gonçalo\nOliveira\, some useful facts on invariant connections.\n
 \nMC 4058
DTSTAMP:20260611T192802Z
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