[MBw] [w] [w] 390-8621 쌧{s3-1-1 ǗҁF \ ---ksakai(at)math.shinshu-u.ac.jp

[ u\ ] [ ܂ł̍u ] [ Z~i[Q ] [ Algebraic Toplogy: A guide to literature ] [ English ]

u\

ځF Second mod 2 homology of Artin groups @ikCww@w@wj wA4K U (A-427) In this talk, after a survey on known results concerning the K(π,1) conjecture and homology of Artin groups, I will introduce a new result, that is a formula of the second mod 2 homology of an arbitrary Artin group, without assuming the K(π,1) conjecture is true. This is joint work with Toshiyuki Akita.
ځF Generating series method in algebraic topology u (Institut Fourier, Université de Grenoble I) wA4K U (A-427) In algebraic topology, quite often a family of equalities can be expressed as an equality between formal series, called generating series. Best known example include Bullett-Macdonald identity for Adem relations, Bisson-Joyal Q-ring formulation for Adem relations, Ravenel-Wilson main relations in the Hopf ring for complex oriented cohomology, Turner's relations in the Hopf ring for QS0, recently generalized to odd prime case by Chon. It turns out in many cases, the "formal indeterminate" allows a geometric interpretation, and in some cases, the generating series themselves have geometric meanings. In this talk, we discuss such interpretations, and how they make things simpler. As an original application, we give a (complete) set of relations among the mod 2 unoriented analogue of Miller-Morita-Mumford classes, or μ-classes defined by Randal-Williams, by an explicit computation. This last result is taken from a joint work with Hadi Zare.
ځF TBA ጎ xiww@Ȋwȁj wA4K U (A-427) TBA
ځF TBA gc iww@Ȋwȁj wA4K U (A-427) TBA

2016Nx̍u

ځF Algebraic K-theory of an infinity category ܂qiMBwwj wA4K U (A-427)
ځF The links of some 3-fold cA singularities В ֎qiMBwSw@\j wA4K U (A-427)
ځF Characteristic classes of fiber bundles with homotopy theory of A-algebras hiHƑww@w@j wA4K U (A-427)
ځF LʑԂ̑gݍ킹_IG c NiMBwo@wj wA4K U (A-427)

Z~i[Q

 v MBw _ MBw _ MBw w C MBw Sw@\ MBw w MBw w HƍwZ y MBw Sw@\ y w Hw MBw w y MBw w y MBw w y MBw w y Hw@w wKxZ^[ ut Hw@w wKxZ^[ ut MBw o@w ww@ȊwȁEwpUʌ(PD) mw ㋳w ut MBww@Hwn MBww@Hwn
 [MBw] [w] [w] 390-8621 쌧{s3-1-1 ǗҁF \ ---ksakai(at)math.shinshu-u.ac.jp

[ u\ ] [ ܂ł̍u ] [ Z~i[Q ] [ Algebraic Toplogy: A guide to literature ] [ English ]

u\

ځF Second mod 2 homology of Artin groups @ikCww@w@wj wA4K U (A-427) In this talk, after a survey on known results concerning the K(π,1) conjecture and homology of Artin groups, I will introduce a new result, that is a formula of the second mod 2 homology of an arbitrary Artin group, without assuming the K(π,1) conjecture is true. This is joint work with Toshiyuki Akita.
ځF Generating series method in algebraic topology u (Institut Fourier, Université de Grenoble I) wA4K U (A-427) In algebraic topology, quite often a family of equalities can be expressed as an equality between formal series, called generating series. Best known example include Bullett-Macdonald identity for Adem relations, Bisson-Joyal Q-ring formulation for Adem relations, Ravenel-Wilson main relations in the Hopf ring for complex oriented cohomology, Turner's relations in the Hopf ring for QS0, recently generalized to odd prime case by Chon. It turns out in many cases, the "formal indeterminate" allows a geometric interpretation, and in some cases, the generating series themselves have geometric meanings. In this talk, we discuss such interpretations, and how they make things simpler. As an original application, we give a (complete) set of relations among the mod 2 unoriented analogue of Miller-Morita-Mumford classes, or μ-classes defined by Randal-Williams, by an explicit computation. This last result is taken from a joint work with Hadi Zare.
ځF TBA ጎ xiww@Ȋwȁj wA4K U (A-427) TBA
ځF TBA gc iww@Ȋwȁj wA4K U (A-427) TBA

2016Nx̍u

ځF Algebraic K-theory of an infinity category ܂qiMBwwj wA4K U (A-427)
ځF The links of some 3-fold cA singularities В ֎qiMBwSw@\j wA4K U (A-427)
ځF Characteristic classes of fiber bundles with homotopy theory of A-algebras hiHƑww@w@j wA4K U (A-427)
ځF LʑԂ̑gݍ킹_IG c NiMBwo@wj wA4K U (A-427)

Z~i[Q

 v MBw _ MBw _ MBw w C MBw Sw@\ MBw w MBw w HƍwZ y MBw Sw@\ y w Hw MBw w y MBw w y MBw w y MBw w y Hw@w wKxZ^[ ut Hw@w wKxZ^[ ut MBw o@w ww@ȊwȁEwpUʌ(PD) mw ㋳w ut MBww@Hwn MBww@Hwn