BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Mahir Bilen Can (Tulane University) DTSTART:20210726T130000Z DTEND:20210726T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/1 DESCRIPTION:Title: Lecture 1: Lie Groups and Algebraic Groups in Action\nby Mahir Bilen Can (Tulane University) as part of GGTI Online Seminars \n\n\nAbstract\nThe purpose of our lectures is to give a short but self-co ntained overview of some well-known results about the geometry of algebrai c group actions. We will focus mainly on the actions of connected reductiv e groups. Our main goals are 1) introducing some interesting examples of e quivariant completions of homogeneous spaces\, 2) explaining several combi natorial gadgets such as valuation cones\, weight monoids\, colors\, etc. that are not only useful for classifying algebraic actions of low complexi ty but also essential for understanding these equivariant completions. Alo ng the way\, we will review some representation theory. In addition\, we w ill analyze some concrete examples of combinatorial varieties such as tori c and Schubert varieties.\n\nZoom Meeting ID 974 3685 2246\n\nPassword Ini tials of the speaker's name (use capitals)\n\nŞifre Konuşmacının adın ın baş harfleri (büyük harflerle) \n\nhttps://gokovagt.org/institute/d oku.php?id=lecture:2021:mahir_bilen_can\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Mahir Bilen Can (Tulane University) DTSTART:20210727T130000Z DTEND:20210727T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/2 DESCRIPTION:Title: Lecture 2: Lie Groups and Algebraic Groups in Action\nby Mahir Bilen Can (Tulane University) as part of GGTI Online Seminars \n\n\nAbstract\nThe purpose of our lectures is to give a short but self-co ntained overview of some well-known results about the geometry of algebrai c group actions. We will focus mainly on the actions of connected reductiv e groups. Our main goals are 1) introducing some interesting examples of e quivariant completions of homogeneous spaces\, 2) explaining several combi natorial gadgets such as valuation cones\, weight monoids\, colors\, etc. that are not only useful for classifying algebraic actions of low complexi ty but also essential for understanding these equivariant completions. Alo ng the way\, we will review some representation theory. In addition\, we w ill analyze some concrete examples of combinatorial varieties such as tori c and Schubert varieties.\n\nZoom Meeting ID 974 3685 2246\n\nPassword Ini tials of the speaker's name (use capitals)\n\nŞifre Konuşmacının adın ın baş harfleri (büyük harflerle) \n\nhttps://gokovagt.org/institute/d oku.php?id=lecture:2021:mahir_bilen_can\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Mahir Bilen Can (Tulane University) DTSTART:20210728T130000Z DTEND:20210728T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/3 DESCRIPTION:Title: Lecture 3: Lie Groups and Algebraic Groups in Action\nby Mahir Bilen Can (Tulane University) as part of GGTI Online Seminars \n\n\nAbstract\nThe purpose of our lectures is to give a short but self-co ntained overview of some well-known results about the geometry of algebrai c group actions. We will focus mainly on the actions of connected reductiv e groups. Our main goals are 1) introducing some interesting examples of e quivariant completions of homogeneous spaces\, 2) explaining several combi natorial gadgets such as valuation cones\, weight monoids\, colors\, etc. that are not only useful for classifying algebraic actions of low complexi ty but also essential for understanding these equivariant completions. Alo ng the way\, we will review some representation theory. In addition\, we w ill analyze some concrete examples of combinatorial varieties such as tori c and Schubert varieties.\n\nZoom Meeting ID 974 3685 2246\n\nPassword Ini tials of the speaker's name (use capitals)\n\nŞifre Konuşmacının adın ın baş harfleri (büyük harflerle) \n\nhttps://gokovagt.org/institute/d oku.php?id=lecture:2021:mahir_bilen_can\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Mahir Bilen Can (Tulane University) DTSTART:20210729T130000Z DTEND:20210729T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/4 DESCRIPTION:Title: Lecture 4: Lie Groups and Algebraic Groups in Action\nby Mahir Bilen Can (Tulane University) as part of GGTI Online Seminars \n\n\nAbstract\nThe purpose of our lectures is to give a short but self-co ntained overview of some well-known results about the geometry of algebrai c group actions. We will focus mainly on the actions of connected reductiv e groups. Our main goals are 1) introducing some interesting examples of e quivariant completions of homogeneous spaces\, 2) explaining several combi natorial gadgets such as valuation cones\, weight monoids\, colors\, etc. that are not only useful for classifying algebraic actions of low complexi ty but also essential for understanding these equivariant completions. Alo ng the way\, we will review some representation theory. In addition\, we w ill analyze some concrete examples of combinatorial varieties such as tori c and Schubert varieties.\n\nZoom Meeting ID 974 3685 2246\n\nPassword Ini tials of the speaker's name (use capitals)\n\nŞifre Konuşmacının adın ın baş harfleri (büyük harflerle) \n\nhttps://gokovagt.org/institute/d oku.php?id=lecture:2021:mahir_bilen_can\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Mahir Bilen Can (Tulane University) DTSTART:20210730T130000Z DTEND:20210730T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/5 DESCRIPTION:Title: Lecture 5: Lie Groups and Algebraic Groups in Action\nby Mahir Bilen Can (Tulane University) as part of GGTI Online Seminars \n\n\nAbstract\nThe purpose of our lectures is to give a short but self-co ntained overview of some well-known results about the geometry of algebrai c group actions. We will focus mainly on the actions of connected reductiv e groups. Our main goals are 1) introducing some interesting examples of e quivariant completions of homogeneous spaces\, 2) explaining several combi natorial gadgets such as valuation cones\, weight monoids\, colors\, etc. that are not only useful for classifying algebraic actions of low complexi ty but also essential for understanding these equivariant completions. Alo ng the way\, we will review some representation theory. In addition\, we w ill analyze some concrete examples of combinatorial varieties such as tori c and Schubert varieties.\n\nZoom Meeting ID 974 3685 2246\n\nPassword Ini tials of the speaker's name (use capitals)\n\nŞifre Konuşmacının adın ın baş harfleri (büyük harflerle) \n\nhttps://gokovagt.org/institute/d oku.php?id=lecture:2021:mahir_bilen_can\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Joé Brendel (University of Neuchâtel) DTSTART:20210823T130000Z DTEND:20210823T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/6 DESCRIPTION:Title: Lecture 1: The Delzant construction\nby Joé Brend el (University of Neuchâtel) as part of GGTI Online Seminars\n\n\nAbstrac t\nToric symplectic manifolds are symplectic manifolds with an effective H amiltonian torus action of maximal dimension. Toric manifolds are distingu ished by the property that they can be reconstructed from a combinatorial object called the moment polytope. Thus they are a great playground for sy mplectic topology and the study of Lagrangian submanifolds\, since complic ated invariants may be reduced to combinatorial properties of the correspo nding moment polytope. In recent years\, there has been much interest in a generalization called “almost toric” structures.\n\nIn these four lec tures\, we will introduce these two classes of symplectic manifolds\, and use their special structure to study Lagrangian tori and symplectic embedd ing problems.\n\nPlease find the Zoom ID/password from the seminar homepag e:\n\nhttps://gokovagt.org/institute/doku.php?id=lecture:2021:joe_brendel_ felix_schlenk\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Joé Brendel (University of Neuchâtel) DTSTART:20210824T130000Z DTEND:20210824T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/7 DESCRIPTION:Title: Lecture 2: Versal deformations and the Chekanov torus< /a>\nby Joé Brendel (University of Neuchâtel) as part of GGTI Online Sem inars\n\n\nAbstract\nToric symplectic manifolds are symplectic manifolds w ith an effective Hamiltonian torus action of maximal dimension. Toric mani folds are distinguished by the property that they can be reconstructed fro m a combinatorial object called the moment polytope. Thus they are a great playground for symplectic topology and the study of Lagrangian submanifol ds\, since complicated invariants may be reduced to combinatorial properti es of the corresponding moment polytope. In recent years\, there has been much interest in a generalization called “almost toric” structures.\n\ nIn these four lectures\, we will introduce these two classes of symplecti c manifolds\, and use their special structure to study Lagrangian tori and symplectic embedding problems.\n\nPlease find the Zoom ID/password from t he seminar homepage:\n\nhttps://gokovagt.org/institute/doku.php?id=lecture :2021:joe_brendel_felix_schlenk\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Felix Schlenk (University of Neuchâtel) DTSTART:20210825T130000Z DTEND:20210825T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/8 DESCRIPTION:Title: Lecture 3: Almost toric symplectic fibrations\nby Felix Schlenk (University of Neuchâtel) as part of GGTI Online Seminars\n \n\nAbstract\nToric symplectic manifolds are symplectic manifolds with an effective Hamiltonian torus action of maximal dimension. Toric manifolds a re distinguished by the property that they can be reconstructed from a com binatorial object called the moment polytope. Thus they are a great playgr ound for symplectic topology and the study of Lagrangian submanifolds\, si nce complicated invariants may be reduced to combinatorial properties of t he corresponding moment polytope. In recent years\, there has been much in terest in a generalization called “almost toric” structures.\n\nIn the se four lectures\, we will introduce these two classes of symplectic manif olds\, and use their special structure to study Lagrangian tori and symple ctic embedding problems.\n\nPlease find the Zoom ID/password from the semi nar homepage:\n\nhttps://gokovagt.org/institute/doku.php?id=lecture:2021:j oe_brendel_felix_schlenk\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Felix Schlenk (University of Neuchâtel) DTSTART:20210826T130000Z DTEND:20210826T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/9 DESCRIPTION:Title: Lecture 4: Three applications (maximal embeddings of e llipsoids\, exotic Lagrangian tori\, and non-isotopic cube embeddings) \nby Felix Schlenk (University of Neuchâtel) as part of GGTI Online Semin ars\n\n\nAbstract\nToric symplectic manifolds are symplectic manifolds wit h an effective Hamiltonian torus action of maximal dimension. Toric manifo lds are distinguished by the property that they can be reconstructed from a combinatorial object called the moment polytope. Thus they are a great p layground for symplectic topology and the study of Lagrangian submanifolds \, since complicated invariants may be reduced to combinatorial properties of the corresponding moment polytope. In recent years\, there has been mu ch interest in a generalization called “almost toric” structures.\n\nI n these four lectures\, we will introduce these two classes of symplectic manifolds\, and use their special structure to study Lagrangian tori and s ymplectic embedding problems.\n\nPlease find the Zoom ID/password from the seminar homepage:\n\nhttps://gokovagt.org/institute/doku.php?id=lecture:2 021:joe_brendel_felix_schlenk\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Eylem Zeliha Yildiz (Duke University) DTSTART:20210927T130000Z DTEND:20210927T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/10 DESCRIPTION:Title: Lecture 1: Shaking Knots\nby Eylem Zeliha Yildiz (Duke University) as part of GGTI Online Seminars\n\n\nAbstract\n"Knot Sha king" is a technique introduced $44$ years ago as a tool to study exotic s moothings of $4$-manifolds with boundary. Let be $K$ be a knot\, and $K^{ r}$ be the $4$-manifold obtained by attaching a $2$-handle to $B^{4}$ alon g $K$ with framing $r$. We say that $K$ is $r$-shake slice if a generator of $H_{2}(K^{r})=Z$ is represented by a smoothly imbedded $2$-sphere\; t his is equivalent to saying that the link consisting of $K$ and an even nu mber of oppositely oriented parallel copies of $K$ (parallel with respect to $r$-framing) to bound disk with holes in $B^4$. Clearly slice knots are $r$-shake slice. It is known that when $r\\neq 0$ not all $r$-shake slice knots are slice\, and there are knots that are not $r$-shake slice. We ad dress the important remaining case of $r=0$\, and prove that $0$-shake sli ce knots are slice. Along the way\, we discuss how shaking is related to t he exotic smooth structures and corks.\n\nZoom Meeting ID 937 1654 5820\n\ nPassword Initials of the speaker's name (use capitals)\n\nŞifre Konuşma cının adının baş harfleri (büyük harflerle)\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Selman Akbulut (GGTI) DTSTART:20210928T130000Z DTEND:20210928T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/11 DESCRIPTION:Title: Lecture 2: Shaking Knots\nby Selman Akbulut (GGTI ) as part of GGTI Online Seminars\n\n\nAbstract\n"Knot Shaking" is a techn ique introduced $44$ years ago as a tool to study exotic smoothings of $4$ -manifolds with boundary. Let be $K$ be a knot\, and $K^{r}$ be the $4$-m anifold obtained by attaching a $2$-handle to $B^{4}$ along $K$ with frami ng $r$. We say that $K$ is $r$-shake slice if a generator of $H_{2}(K^{r })=Z$ is represented by a smoothly imbedded $2$-sphere\; this is equivalen t to saying that the link consisting of $K$ and an even number of opposite ly oriented parallel copies of $K$ (parallel with respect to $r$-framing) to bound disk with holes in $B^4$. Clearly slice knots are $r$-shake slice . It is known that when $r\\neq 0$ not all $r$-shake slice knots are slice \, and there are knots that are not $r$-shake slice. We address the import ant remaining case of $r=0$\, and prove that $0$-shake slice knots are sli ce. Along the way\, we discuss how shaking is related to the exotic smooth structures and corks.\n\nZoom Meeting ID 912 1482 3818\n\nPassword Initia ls of the speaker's name (use capitals)\n\nŞifre Konuşmacının adının baş harfleri (büyük harflerle)\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Grigory Mikhalkin (University of Geneva) DTSTART:20211019T130000Z DTEND:20211019T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/12 DESCRIPTION:Title: Lecture 1: Logarithmic images of algebraic curves in the real plane\nby Grigory Mikhalkin (University of Geneva) as part of GGTI Online Seminars\n\n\nAbstract\nThese lectures are devoted to real al gebraic curves in real algebraic surfaces and to areas delimited by these curves. We will start with several basic notions and facts in topology of real algebraic curves and surfaces paying a particular attention to algebr aic curves in the real plane. The discussion around amoebas and areas of t hese curves will naturally lead us to the notion of simple Harnack curves. After the study of various properties of simple Harnack curves\, we will present analogs of these curves in the framework of $K3$-surfaces and will finish the lectures by introducing areas of connected components of the r eal point set of a real $K3$-surface (using a holomorphic symplectic form of the surface) and establishing certain inequalities for these areas.\n\n The topics of the lectures are tentative. We encourage the audience to par ticipate actively by interrupting the lecturers and asking questions. The actual content of the lectures will depend on these interactions.\n\nZoom Meeting ID 952 4893 3373\n\nPassword Initials of the speaker's name (use c apitals)\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/12/ END:VEVENT BEGIN:VEVENT SUMMARY:Ilia Itenberg (Sorbonne University) DTSTART:20211020T130000Z DTEND:20211020T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/13 DESCRIPTION:Title: Lecture 2: Topology of real algebraic curves and surf aces\nby Ilia Itenberg (Sorbonne University) as part of GGTI Online Se minars\n\n\nAbstract\nThese lectures are devoted to real algebraic curves in real algebraic surfaces and to areas delimited by these curves. We will start with several basic notions and facts in topology of real algebraic curves and surfaces paying a particular attention to algebraic curves in t he real plane. The discussion around amoebas and areas of these curves wil l naturally lead us to the notion of simple Harnack curves. After the stud y of various properties of simple Harnack curves\, we will present analogs of these curves in the framework of $K3$-surfaces and will finish the lec tures by introducing areas of connected components of the real point set o f a real $K3$-surface (using a holomorphic symplectic form of the surface) and establishing certain inequalities for these areas.\n\nThe topics of t he lectures are tentative. We encourage the audience to participate active ly by interrupting the lecturers and asking questions. The actual content of the lectures will depend on these interactions.\n\nZoom Meeting ID 949 1884 3438\n\nPassword Initials of the speaker's name (use capitals)\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/13/ END:VEVENT BEGIN:VEVENT SUMMARY:Grigory Mikhalkin (University of Geneva) DTSTART:20211021T130000Z DTEND:20211021T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/14 DESCRIPTION:Title: Lecture 3: Amoebas\, coamoebas and simple Harnack cur ves\nby Grigory Mikhalkin (University of Geneva) as part of GGTI Onlin e Seminars\n\n\nAbstract\nThese lectures are devoted to real algebraic cur ves in real algebraic surfaces and to areas delimited by these curves. We will start with several basic notions and facts in topology of real algebr aic curves and surfaces paying a particular attention to algebraic curves in the real plane. The discussion around amoebas and areas of these curves will naturally lead us to the notion of simple Harnack curves. After the study of various properties of simple Harnack curves\, we will present ana logs of these curves in the framework of $K3$-surfaces and will finish the lectures by introducing areas of connected components of the real point s et of a real $K3$-surface (using a holomorphic symplectic form of the surf ace) and establishing certain inequalities for these areas.\n\nThe topics of the lectures are tentative. We encourage the audience to participate ac tively by interrupting the lecturers and asking questions. The actual cont ent of the lectures will depend on these interactions.\n\nZoom Meeting ID 952 4893 3373\n\nPassword Initials of the speaker's name (use capitals)\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/14/ END:VEVENT BEGIN:VEVENT SUMMARY:Ilia Itenberg (Sorbonne University) DTSTART:20211022T130000Z DTEND:20211022T140000Z DTSTAMP:20260404T095037Z UID:GGTI-online-seminars/15 DESCRIPTION:Title: Lecture 4: Areas in K3-surfaces\nby Ilia Itenberg (Sorbonne University) as part of GGTI Online Seminars\n\n\nAbstract\nThes e lectures are devoted to real algebraic curves in real algebraic surfaces and to areas delimited by these curves. We will start with several basic notions and facts in topology of real algebraic curves and surfaces paying a particular attention to algebraic curves in the real plane. The discuss ion around amoebas and areas of these curves will naturally lead us to the notion of simple Harnack curves. After the study of various properties of simple Harnack curves\, we will present analogs of these curves in the fr amework of $K3$-surfaces and will finish the lectures by introducing areas of connected components of the real point set of a real $K3$-surface (usi ng a holomorphic symplectic form of the surface) and establishing certain inequalities for these areas.\n\nThe topics of the lectures are tentative. We encourage the audience to participate actively by interrupting the lec turers and asking questions. The actual content of the lectures will depen d on these interactions.\n\nZoom Meeting ID 949 1884 3438\n\nPassword Init ials of the speaker's name (use capitals)\n LOCATION:https://stable.researchseminars.org/talk/GGTI-online-seminars/15/ END:VEVENT END:VCALENDAR