Zhu, Xinwen Geometric Satake, categorical traces, and arithmetic of Shimura varieties. (English) Zbl 07106600 Jerison, David (ed.) et al., Current developments in mathematics 2016. Papers based on selected lectures given at the current development mathematics conference, Harvard University, Cambridge, MA, USA, November 2016. Somerville, MA: International Press (ISBN 978-1-57146-358-6/pbk). 145-206 (2018). MSC: 22-02 14-02 22Exx 14L24 14G35 PDF BibTeX XML Cite \textit{X. Zhu}, in: Current developments in mathematics 2016. Papers based on selected lectures given at the current development mathematics conference, Harvard University, Cambridge, MA, USA, November 2016. Somerville, MA: International Press. 145--206 (2018; Zbl 07106600) Full Text: DOI arXiv
Zhu, Xinwen An introduction to affine Grassmannians and the geometric Satake equivalence. (English) Zbl 06854849 Bezrukavnikov, Roman (ed.) et al., Geometry of moduli spaces and representation theory. Lecture notes from the 2015 IAS/Park City Mathematics Institute (PCMI) Graduate Summer School, Park City, UT, USA, June 28 – July 18, 2015. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study (IAS) (ISBN 978-1-4704-3574-5/hbk; 978-1-4704-4234-7/ebook). IAS/Park City Mathematics Series 24, 59-154 (2017). MSC: 14M15 22-02 14-02 PDF BibTeX XML Cite \textit{X. Zhu}, IAS/Park City Math. Ser. 24, 59--154 (2017; Zbl 06854849) Full Text: DOI arXiv
Zhu, Xinwen A survey of local models of Shimura varieties. (English) Zbl 1432.11064 Lin, Chang-Shou (ed.) et al., Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14–19, 2013. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 36, 247-265 (2017). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{X. Zhu}, in: Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14--19, 2013. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press. 247--265 (2017; Zbl 1432.11064) Full Text: Link
Chen, Tsao-Hsien; Zhu, Xinwen Geometric Langlands in prime characteristic. (English) Zbl 1390.14044 Compos. Math. 153, No. 2, 395-452 (2017). Reviewer: Jiuzu Hong (New Haven) MSC: 14D24 22E57 PDF BibTeX XML Cite \textit{T.-H. Chen} and \textit{X. Zhu}, Compos. Math. 153, No. 2, 395--452 (2017; Zbl 1390.14044) Full Text: DOI arXiv
Zhu, Xinwen Affine Grassmannians and the geometric Satake in mixed characteristic. (English) Zbl 1390.14072 Ann. Math. (2) 185, No. 2, 403-492 (2017). Reviewer: Ulrich Görtz (Essen) MSC: 14G35 11G18 14M15 PDF BibTeX XML Cite \textit{X. Zhu}, Ann. Math. (2) 185, No. 2, 403--492 (2017; Zbl 1390.14072) Full Text: DOI arXiv
Zhu, Xinwen Frenkel-Gross’ irregular connection and Heinloth-Ngô-Yun’s are the same. (English) Zbl 1393.14011 Sel. Math., New Ser. 23, No. 1, 245-274 (2017). Reviewer: Wen-Wei Li (Beijing) MSC: 14D24 22E57 PDF BibTeX XML Cite \textit{X. Zhu}, Sel. Math., New Ser. 23, No. 1, 245--274 (2017; Zbl 1393.14011) Full Text: DOI arXiv
Liu, Ruochuan; Zhu, Xinwen Rigidity and a Riemann-Hilbert correspondence for \(p\)-adic local systems. (English) Zbl 1375.14090 Invent. Math. 207, No. 1, 291-343 (2017). Reviewer: Laurent Berger (Lyon) MSC: 14G22 14G35 14J60 11S15 PDF BibTeX XML Cite \textit{R. Liu} and \textit{X. Zhu}, Invent. Math. 207, No. 1, 291--343 (2017; Zbl 1375.14090) Full Text: DOI arXiv
Huang, An; Lian, Bong H.; Yau, Shing-Tung; Zhu, Xinwen Chain integral solutions to tautological systems. (English) Zbl 1364.14031 Math. Res. Lett. 23, No. 6, 1721-1736 (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 14J32 14D07 14D05 32S35 34M50 33C80 PDF BibTeX XML Cite \textit{A. Huang} et al., Math. Res. Lett. 23, No. 6, 1721--1736 (2016; Zbl 1364.14031) Full Text: DOI arXiv
Huang, An; Lian, Bong H.; Zhu, Xinwen Period integrals and the Riemann-Hilbert correspondence. (English) Zbl 1387.14042 J. Differ. Geom. 104, No. 2, 325-369 (2016). Reviewer: Ruifang Song (Mountain View) MSC: 14D05 14C30 14D07 53D37 PDF BibTeX XML Cite \textit{A. Huang} et al., J. Differ. Geom. 104, No. 2, 325--369 (2016; Zbl 1387.14042) Full Text: DOI Link arXiv
Chen, Tsao-Hsien; Zhu, Xinwen Non-abelian Hodge theory for algebraic curves in characteristic \(p\). (English) Zbl 1330.14015 Geom. Funct. Anal. 25, No. 6, 1706-1733 (2015). Reviewer: Fumio Hazama (Hatoyama) MSC: 14D20 14D23 14C30 PDF BibTeX XML Cite \textit{T.-H. Chen} and \textit{X. Zhu}, Geom. Funct. Anal. 25, No. 6, 1706--1733 (2015; Zbl 1330.14015) Full Text: DOI arXiv
Zhu, Xinwen The geometric Satake correspondence for ramified groups. (English. French summary) Zbl 1392.11036 Ann. Sci. Éc. Norm. Supér. (4) 48, No. 2, 409-451 (2015). MSC: 11G18 14G35 20G25 PDF BibTeX XML Cite \textit{X. Zhu}, Ann. Sci. Éc. Norm. Supér. (4) 48, No. 2, 409--451 (2015; Zbl 1392.11036) Full Text: DOI Link arXiv
Zhu, Xinwen On the coherence conjecture of Pappas and Rapoport. (English) Zbl 1300.14042 Ann. Math. (2) 180, No. 1, 1-85 (2014). Reviewer: Wen-Wei Li (Beijing) MSC: 14L05 14M15 14G20 PDF BibTeX XML Cite \textit{X. Zhu}, Ann. Math. (2) 180, No. 1, 1--85 (2014; Zbl 1300.14042) Full Text: DOI arXiv
Pappas, Georgios; Zhu, Xinwen Erratum to: Local models of Shimura varieties and a conjecture of Kottwitz. (English) Zbl 1275.14025 Invent. Math. 194, No. 1, 255 (2013). MSC: 14G35 PDF BibTeX XML Cite \textit{G. Pappas} and \textit{X. Zhu}, Invent. Math. 194, No. 1, 255 (2013; Zbl 1275.14025) Full Text: DOI
Pappas, Georgios; Zhu, Xinwen Local models of Shimura varieties and a conjecture of Kottwitz. (English) Zbl 1294.14012 Invent. Math. 194, No. 1, 147-254 (2013); erratum ibid. 194, No. 1, 255 (2013). Reviewer: Ulrich Görtz (Essen) MSC: 14G35 11G18 PDF BibTeX XML Cite \textit{G. Pappas} and \textit{X. Zhu}, Invent. Math. 194, No. 1, 147--254 (2013; Zbl 1294.14012) Full Text: DOI
Osipov, Denis; Zhu, Xinwen A categorical proof of the Parshin reciprocity laws on algebraic surfaces. (English) Zbl 1237.19007 Algebra Number Theory 5, No. 3, 289-337 (2011). Reviewer: Werner Kleinert (Berlin) MSC: 19F15 18D05 11R37 14G20 14J20 18B40 PDF BibTeX XML Cite \textit{D. Osipov} and \textit{X. Zhu}, Algebra Number Theory 5, No. 3, 289--337 (2011; Zbl 1237.19007) Full Text: DOI Link arXiv
Frenkel, Edward; Zhu, Xinwen Any flat bundle on a punctured disc has an oper structure. (English) Zbl 1220.14013 Math. Res. Lett. 17, No. 1, 27-37 (2010). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 14D24 17B67 22E67 PDF BibTeX XML Cite \textit{E. Frenkel} and \textit{X. Zhu}, Math. Res. Lett. 17, No. 1, 27--37 (2010; Zbl 1220.14013) Full Text: DOI arXiv
Zhu, Xinwen Affine Demazure modules and \(T\)-fixed point subschemes in the affine Grassmannian. (English) Zbl 1167.14033 Adv. Math. 221, No. 2, 570-600 (2009). Reviewer: Alessandro Ruzzi (Roma) MSC: 14M15 17B67 17B69 PDF BibTeX XML Cite \textit{X. Zhu}, Adv. Math. 221, No. 2, 570--600 (2009; Zbl 1167.14033) Full Text: DOI arXiv