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008 160406s2016 bl por d
035 _aocm51338542
040 _aP5A
_cP5A
090 _acs
111 2 _aFactorization Homology
_d(2016:
_cIMPA, Rio de Janeiro, Brazil)
_97525
245 1 0 _aFactorization Homology.
260 _aRio de Janeiro:
_bIMPA,
_c2016.
300 _avideo online
505 1 _aThere is a relationship between higher algebra/category theory and differential topology. Evidence of this is abundant. For instance, Khovanov homology can be regarded as a knot invariant obtained from a suitable representation of a quantum group, the collection of which forms a braided monoidal category. Also, Turaev-Viro 3-manifold invariants are constructed from a suitably finite monoidal category. In the other direction, deformations of a point in an En-scheme over characteristic zero, such as a variety over the complex numbers, are indexed by framed n-manifolds. Hochschild (co)homology is an instance of this for n=1. This series will dwell on the foundations of this relationship. The talks will be framed by one main result, and a couple formal applications thereof. The main construction is factorization homology with coefficients in higher (enriched) categories. The body of the talks will focus on precise definitions, emphasizing the essential aspects that facilitate the coherent cancellations which support the main result.
590 _aDAY 1 - TALK 1 NOT RECORDED
650 0 4 _aMatematica.
_2larpcal
_919899
697 _aCongressos e Seminários.
_923755
700 1 _aGinot, Grégory
_u(Univ. Pierre et Marie Curie, France)
_97522
700 1 _aAyala, David
_u(Montana State University, USA)
_97523
700 1 _aFrancis, John
_d1982
_u(Northwestern University, USA)
_97524
856 4 _zVIDEOS
_uhttps://www.youtube.com/playlist?list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM
856 4 _zDAY 1 - TALK 2
_uhttps://www.youtube.com/watch?v=Y9MP8M9r4BU&index=1&list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM
856 4 _zDAY 1 - TALK 3
_uhttps://www.youtube.com/watch?v=JL57PFiqptM&index=2&list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM
856 4 _zDAY 1 - TALK 4
_uhttps://www.youtube.com/watch?v=jNyL_GbL-7M&index=3&list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM
856 4 _zDAY 2 - TALK 1
_uhttps://www.youtube.com/watch?v=DvOx-eQnFOg&index=4&list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM
856 4 _zDAY 2 - TALK 2
_uhttps://www.youtube.com/watch?v=Thwppy3tsGk&index=5&list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM
856 4 _zDAY 2 - TALK 3
_uhttps://www.youtube.com/watch?v=CGGotzr_LBM&index=6&list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM
856 4 _zDAY 2 - TALK 4
_uhttps://www.youtube.com/watch?v=wNd-VN4uJss&index=7&list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM
856 4 _zDAY 3 - TALK 1
_uhttps://www.youtube.com/watch?v=NR62W6WEDRM&index=8&list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM
856 4 _zDAY 3 - TALK 2
_uhttps://www.youtube.com/watch?v=YvsA8uSCsME&index=9&list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM
856 4 _zDAY 3 - TALK 3
_uhttps://www.youtube.com/watch?v=G94IEAkVkHo&index=10&list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM
856 4 _zDAY 3 - TALK 4
_uhttps://www.youtube.com/watch?v=ezx4AaPPG7A&index=11&list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM
942 _2ddc
_cBK
999 _aFACTORIZATION Homology. Rio de Janeiro: IMPA, 2016. video online. Disponível em: <https://www.youtube.com/playlist?list=PLo4jXE-LdDTQWSOmGte18RLsFNiU03VWM>. Acesso em: 6 abr. 2016.
_c35618
_d35618