BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Katharina Hübner (Heidelberg) DTSTART:20201021T160000Z DTEND:20201021T170000Z DTSTAMP:20260422T225924Z UID:EmmyKolloq/1 DESCRIPTION:Title: Logarithmic Differentials on Adic Spaces\nby Katharina Hübner (Hei delberg) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nThe objec t of interest in this talk is a certain subsheaf $\\Omega^+_X$ of the shea f of differentials $\\Omega_X$ of a discretely ringed adic space $X$ over a field $k$. The first part will be dedicated to an introduction to discr etely ringed adic spaces. We will then define $\\Omega^+_X$ using K\\"ahle r seminorms and establish a relation with logarithmic differentials. Final ly we study the case where $X = Spa(U\,Y)$ for a scheme $Y$ over $k$ and a subscheme $U$ such that the corresponding log structure on $Y$ is log smo oth. It turns out that $\\Omega^+_X(X)$ equals $\\Omega^{log}_{(U\,Y)}(U\ ,Y)$.\n LOCATION:https://researchseminars.org/talk/EmmyKolloq/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Ziming Ma (CUHK) DTSTART:20210512T070000Z DTEND:20210512T080000Z DTSTAMP:20260422T225924Z UID:EmmyKolloq/2 DESCRIPTION:Title: SYZ Mirror Symmetry and Maurer-Cartan equation\nby Ziming Ma (CUHK) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nThe Strominger-Ya u-Zaslow conjecture for understanding Mirror Symmetry geometrically\, lead s to the Fukaya’s conjectural reconstruction of mirror manifolds which s olves Maurer-Cartan equation near large limits using quantum corrections. In this talk\, we will discuss progesses of the Fukaya’sconjecture and t he formulation of the Maurer-Cartan equation near largestructure limits by constructing a dgBV algebra $PV^∗(X)$\, a generalized version of the Ko daira–Spencer dgLa\, associated to possibly degenerate Calabi–Yau vari ety equipped with local thickening data. This talk is based onjoint works with Kwokwai Chan\, Conan Leung and Yat-Hin Suen.\n LOCATION:https://researchseminars.org/talk/EmmyKolloq/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Taro Sano (Kobe University) DTSTART:20210519T063000Z DTEND:20210519T073000Z DTSTAMP:20260422T225924Z UID:EmmyKolloq/4 DESCRIPTION:Title: Construction of non-Kähler Calabi-Yau manifolds by log deformations\nby Taro Sano (Kobe University) as part of Emmy Noether Kolloquium Mainz \n\n\nAbstract\nCalabi-Yau manifolds (in the strict sense) form an importa nt\nclass in the classification of algebraic varieties. One can also\ncons ider its generalisation by removing the projectivity assumption.\nClemens and Friedman constructed infinitely many topological types of\nnon-Kähler Calabi-Yau 3-folds whose 2nd Betti numbers are zero.\nIn this talk\, I wi ll present examples of non-Kähler Calabi-Yau\nmanifolds with arbitrarily large 2nd Betti numbers. The construction\nis by smoothing normal crossing varieties.\nThe key tools of the construction are some isomorphisms betwe en\ngeneral rational elliptic surfaces which induce isomorphisms between\n Calabi-Yau manifolds of Schoen type.\n LOCATION:https://researchseminars.org/talk/EmmyKolloq/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Yuto Yamamoto (IBS Center for Geometry and Physics) DTSTART:20210526T070000Z DTEND:20210526T080000Z DTSTAMP:20260422T225924Z UID:EmmyKolloq/5 DESCRIPTION:Title: Tropical contractions to integral affine manifolds with singularities\nby Yuto Yamamoto (IBS Center for Geometry and Physics) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nWe construct contraction maps fro m tropical Calabi--Yau varieties to the integral affine manifolds with sin gularities that arise as the dual intersection complexes of toric degenera tions of Calabi--Yau varieties in the Gross--Siebert program. We show that the contractions preserve tropical cohomology groups\, and send the eigen waves to the radiance obstructions. As an application\, we also prove the Poincaré--Verdier duality for integral affine manifolds with singularitie s.\n LOCATION:https://researchseminars.org/talk/EmmyKolloq/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Taro Fujisawa (Tokyo Denki University) DTSTART:20210609T070000Z DTEND:20210609T080000Z DTSTAMP:20260422T225924Z UID:EmmyKolloq/6 DESCRIPTION:Title: Geometric polarized log Hodge structures on the standard log point\ nby Taro Fujisawa (Tokyo Denki University) as part of Emmy Noether Kolloqu ium Mainz\n\n\nAbstract\nI will talk about the following fact: a projectiv e vertical exact log smooth morphism over the standard log point yields po larized log Hodge structures on the base. In the proof of this fact\, the case of a strict log deformation is essential. So\, I will mainly talk abo ut this case\, and explain how to relate my previous results on the mixed Hodge structures to log Hodge structures for a projective strict log defor mation. If the time remained\, I will discuss a generalization to the case of a general base point. This talk is based on a joint work with C. Nakay ama.\n LOCATION:https://researchseminars.org/talk/EmmyKolloq/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Pieter Belmans (Univ. Bonn) DTSTART:20210615T150000Z DTEND:20210615T160000Z DTSTAMP:20260422T225924Z UID:EmmyKolloq/7 DESCRIPTION:Title: Hochschild cohomology of Fano 3-folds\nby Pieter Belmans (Univ. Bon n) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nThe Hochschild- Kostant-Rosenberg decomposition gives a description of the Hochschild coho mology of a smooth projective variety in terms of the sheaf cohomology of exterior powers of the tangent bundle. In all but a few cases it is a non- trivial task to compute this decomposition\, and understand the extra alge braic structure which exists on Hochschild cohomology. I will give a gener al introduction to Hochschild cohomology and this decomposition\, and expl ain what it looks like for Fano 3-folds (joint work with Enrico Fatighenti and Fabio Tanturri)\, and time permitting also for partial flag varieties (joint work with Maxim Smirnov).\n LOCATION:https://researchseminars.org/talk/EmmyKolloq/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Wei Hong (Wuhan University) DTSTART:20210623T070000Z DTEND:20210623T080000Z DTSTAMP:20260422T225924Z UID:EmmyKolloq/8 DESCRIPTION:Title: BV operators of the Gerstenhaber algebras of holomorphic polyvector fie lds on toric varieties\nby Wei Hong (Wuhan University) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nThe vector space of holomorphic p olyvector fields on any complex manifold has a\nnatural Gerstenhaber algeb ra structure. In this paper\, we study BV operators of the Gersten-\nhaber algebras of holomorphic polyvector fields on smooth compact toric varieti es. We give a\nnecessary and sufficient condition for the existence of BV operators of the Gerstenhaber algebra\nof holomorphic polyvector fields on any smooth compact toric variety.\n LOCATION:https://researchseminars.org/talk/EmmyKolloq/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Benjamin Gammage (Harvard) DTSTART:20210720T150000Z DTEND:20210720T160000Z DTSTAMP:20260422T225924Z UID:EmmyKolloq/9 DESCRIPTION:Title: Homological mirror symmetry over the SYZ base\nby Benjamin Gammage (Harvard) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nThe Gros s-Siebert program suggests that mirror symmetry is mediated by the combina torial data of a dual pair of integral affine manifolds with singularities and polyhedral decomposition. Much is now understood about the passage fr om the combinatorial data to complex spaces "near the large complex struct ure limit" -- a toric degeneration and its smoothing. In this talk\, we di scuss the mirror procedure for moving from the combinatorial data to sympl ectic spaces "near the large volume limit" -- a Weinstein symplectic manif old and its compactification -- and we will explain a proof of homological mirror symmetry between the complex and symplectic manifold associated to local pieces of the combinatorial data. This is part of a program with Vi vek Shende to prove homological mirror symmetry globally over the SYZ base .\n LOCATION:https://researchseminars.org/talk/EmmyKolloq/9/ END:VEVENT END:VCALENDAR