Research
Preprint(s)
Papers (in English)
[6] (with Takashi Maruyama), A combinatorial integration on the Cantor dust, Math. J. Okayama Univ. 66 (2024), 115–124. [arXiv] [journal]
[5] (with Takashi Maruyama), A combinatorial Fredholm module on self-similar sets built on n-cubes, J. Fractal Geom. 10 (2023), no. 3/4, pp. 303–332. [arXiv] [journal]
[4] Tatsuki SETO, A cyclic cocycle and relative index theorems on partitioned manifolds, Tokyo J. of Math. Vol. 42, No. 2 (2019), 431 -- 448. [arXiv] [journal]
[3] Tatsuki SETO, A note on Atiyah's $\Gamma$-index theorem in Heisenberg calculus, Kodai Math. J. Vol. 40, No. 3 (2017), 577 -- 583. [arXiv] [journal]
[2] Tatsuki SETO, Toeplitz operators and the Roe-Higson type index theorem, J. Noncommut. Geom. Vol. 12, No. 2 (2018), 637 -- 670. [arXiv] [journal]
[1] Tatsuki SETO, Toeplitz operators and the Roe-Higson type index theorem in Riemannian surfaces, Tokyo J. of Math. Vol. 39, No. 2 (2016), 423 -- 439. [arXiv] [journal]
[Ph. D Thesis] An index theorem for Toeplitz operators on partitioned manifolds (2016) [PDF]
Talks (in English)
[7] Tatsuki SETO, ``An index theorem for Toeplitz operators on partitioned manifolds'', Special Session on Coarse Geometry, Index Theory, and Operator Algebras: Around the Mathematics of John Roe, University of Hawai'i at Ma\=noa (USA), Mar. 24, 2019, (invited lecture), https://www.ams.org/meetings/sectional/2251_program_ss53.html
[6] Tatsuki SETO, ``A cyclic cocycle and relative index theorems on partitioned manifolds'', Gauge theory in Fukuoka, Nishijin Plaza - Kanpo no Yado Yanagawa (Fukuoka), Feb. 18, 2018, (invited lecture), https://sites.google.com/view/gaugetheory-fukuoka/home
[5] Tatsuki SETO, ``An index theorem for Toeplitz operators on partitioned manifolds'', The second China-Japan geometry conference, Fujian normal university (China), Sept. 11, 2016, (invited lecture)
[4] Tatsuki SETO, ``Toeplitz operators and the Roe-Higson type index theorem'', Group actions and metric embeddings, Kyoto university, Sept. 11, 2015, (invited lecture), https://www.math.kyoto-u.ac.jp/~kida/workshops/game2015.html
[3] Tatsuki SETO, ``Index theory on $S^{1}$'', NU / SNU / KAIST research meeting of students, Nagoya university, Aug. 24, 2015
[2] Tatsuki SETO, ``Index theory on $S^{1}$'', Workshop of graduate students from institute of mathematics, VAST Hanoi and Nagoya university, Ha Long bay (Vietnum), Mar. 28, 2015
[1] Tatsuki SETO, ``Toeplitz operators and the Roe-Higson type index theorem'', The Second China-Japan Conference on Noncommutative Geometry and K-Theory, Hotel Southern Plaza Kaiho (Naha), Oct. 6, 2014, (invited lecture), http://natsu.web.nitech.ac.jp/ncg2.html