BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Biswajit Basu (Trinity College Dublin\, Ireland) DTSTART:20200915T110000Z DTEND:20200915T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/1 DESCRIPTION:Title: On a three-dimensional nonlinear model of Pacific equato rial ocean dynamics\nby Biswajit Basu (Trinity College Dublin\, Irelan d) as part of Ashoka University mathematics seminars\n\n\nAbstract\nThis t alk focusses on some investigations into a recently developed non-linear\, three dimensional Pacific equatorial model for ocean dynamics. The develo pment of the model had been motivated by observations and the model is abl e to capture some essential properties of the flow in the Pacific equatori al region. Analysis of velocity field and flow paths indicate that several known and unknown features (which are essentially non-linear and three di mensional such as upwelling/downwelling\, cellular flow structures\, diver gence of flow from the equator and extra-equatorial flows\, subsurface oce an ‘bridge’ in the equatorial direction and sharp change in gradient o f the flow path) exist and can be simulated by the model.\n\nBiswajit Basu is a Professor in the School of Engineering at Trinity College Dublin and leads the area of research in Renewable Energy. He holds a Ph.D. in Engi neering from IIT Kanpur (1998) and a Dr. rer. Nat. from the University of Vienna (2019) in Mathematics. He has also held positions as a Visiting Sch olar and Visiting Professor at Rice University USA\, a Guest Professor at Aalborg University Denmark\, a Senior Marie Curie Fellow at Plaxis BV Neth erlands\, a Distinguished Guest Professor at Tongji University China\, and a Distinguished Visiting Professor at Indian Institute of Engineering Sci ence and Technology\, Shipur.\nHe has pioneered the development of time-fr equency and wavelet-based algorithms for identification\, nonstationary re sponse\, and control of time-varying and non-linear systems. His current r esearch focuses on nonlinear PDEs with application to nonlinear hydrodynam ics\, ocean energy generation\, and oceanography\; and quantum computing w ith application to machine learning\, fluid dynamics\, optimization\, and control. He has received several awards of which notable are: President of Ireland EU FP7 Research Champion Award in 2013\, Kobori Award for Structu ral Control in 2014 from the Int. Association of Structural Control and Mo nitoring and Phil Doak Award from the Institute of Sound & Vibration Resea rch\, Southampton in 2015.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Nishad Kothari (IIT Madras) DTSTART:20200929T110000Z DTEND:20200929T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/2 DESCRIPTION:Title: Matching Theory: $K_4$-based and $\\overline{C_6}$-based Planar Graphs\nby Nishad Kothari (IIT Madras) as part of Ashoka Unive rsity mathematics seminars\n\n\nAbstract\nFor several problems in Matching Theory\, one may restrict attention to {\\em matching covered graphs} --- \ni.e.\, connected graphs with the additional property that each edge belo ngs to some perfect matching.\nTwo types of decompositions --- {\\it ear d ecompositions} and {\\it tight cut decompositions} --- play an important\n role in the study of these graphs.\n\nLov{\\'a}sz (1983) proved that every nonbipartite matching covered graph admits an ear decomposition\nstarting from a bi-subdivision of the complete graph~$K_4$\,\nor from a bi-subdivi sion of the triangular prism~$\\overline{C_6}$. This\ngives rise to two na tural problems: Which matching covered graphs are $K_4$-based (i.e.\,\nadm it an ear decomposition starting from a bi-subdivision of $K_4$)? Likewise \, which ones are $\\overline{C_6}$-based?\n\n\nIn a joint work with U. S. R. Murty (\\url{https://onlinelibrary.wiley.com/doi/full/10.1002/jgt.2188 2})\,\nwe solved the aforementioned problems for planar graphs.\nAt a high -level\, our solution comprises two steps: (i) reduce each problem to the case of ``bricks'' (special\nnonbipartite matching covere graphs)\nby appl ying the tight cut decomposition\, and (ii) solve each problem for the cas e of planar bricks.\n\nI will discuss each of these problems\, and our sol utions for the planar case.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Riddhipratim Basu (ICTS-TIFR) DTSTART:20201020T110000Z DTEND:20201020T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/3 DESCRIPTION:Title: A story of universality in random interface growth\n by Riddhipratim Basu (ICTS-TIFR) as part of Ashoka University mathematics seminars\n\n\nAbstract\nOne dimensional interfaces growing in time (consid er\, for example\, the top envelope of the configuration in the game of TE TRIS) are ubiquitous in nature. I shall describe a class of stochastic mod els for interface growth that are believed to\, asymptotically\, share the same universal characteristics observed in many naturally occurring inter faces\, and sketch\, in parts\, an ongoing story of the fascinating mathem atics developed over the last twenty years with a view to understand such interfaces rigorously.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Tirthankar Bhattacharyya (IISc. Bangalore) DTSTART:20201103T110000Z DTEND:20201103T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/4 DESCRIPTION:Title: Dilation and von Neumann's inequality for matrices\n by Tirthankar Bhattacharyya (IISc. Bangalore) as part of Ashoka University mathematics seminars\n\n\nAbstract\nWe shall show some easy matrix techni ques to come up with interesting results like the maximum modulus principl e and the von Neumann's inequality. This involves forming polynomials of m atrices. So\, we shall talk about the functions of matrices. Suppose T is an n by n matrix with the largest singular value not larger than 1. The vo n Neumann's inequality is a fundamental result which states that for a pol ynomial p and a matrix T as above\, the largest singular value of p(T) is not larger than 1. Interestingly\, this has a relation with complex analys is. The method of proof of von Neumann's inequality produces a new proof o f the maximum modulus principle as well.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Krishna Maddaly (Ashoka University) DTSTART:20201110T110000Z DTEND:20201110T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/5 DESCRIPTION:Title: Wavelets - Are these small waves?\nby Krishna Maddal y (Ashoka University) as part of Ashoka University mathematics seminars\n\ n\nAbstract\nAre wavelets small waves? This is the first question that co mes to mind\, if one has never heard of them. In this talk I will explain what they are\, why they appeared in mathematics\, how they quickly took r oot and how they silently form part of our lives without our ever realizin g the fact.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/5/ END:VEVENT BEGIN:VEVENT SUMMARY:B V Rajarama Bhat (ISI\, Bangalore) DTSTART:20201117T110000Z DTEND:20201117T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/6 DESCRIPTION:Title: Invariants\nby B V Rajarama Bhat (ISI\, Bangalore) a s part of Ashoka University mathematics seminars\n\n\nAbstract\nHere is a simple puzzle: Start with a rectangular 3cm x 5cm piece of paper. Cut it down into smaller rectangular pieces and re-arrange to have a square of si ze 4cm x 4cm.\n\n Without wasting any paper\, a little bit of thought sho uld tell you that this is impossible as the originally area is 15cm2 and any rearrangement would have same area where as we are asked to get a squa re of area 16cm2. Here `area’ is an `invariant’. It is an obstr uction to realize the transformation asked for. The notion of invariants is widely used in mathematics to classify objects and to detect obstructi ons in transforming systems from one state to another. It also has many pr actical applications. In this talk we will describe the concept of invaria nts through various puzzles and some mathematical problems.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Gaurav Bhatnagar (Ashoka University) DTSTART:20201201T110000Z DTEND:20201201T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/7 DESCRIPTION:Title: Ramanujan’s $_1\\psi_1$ sum\nby Gaurav Bhatnagar ( Ashoka University) as part of Ashoka University mathematics seminars\n\n\n Abstract\nIt is now a hundred years since Ramanujan passed away. In his li fetime\, he wrote his results in a few notebooks\, and it has taken nearly a hundred years for mathematicians to prove all his results. We know him as one of the greatest geniuses this world has seen\; but how many of his results do you know? In the first talk in the Ashoka Mathematics Colloquiu im this year\, I presented a few of his continued fraction results. The pu rpose of this talk is to present another result of Ramanujan. This result generalizes Jacobi’s triple identity and simultaneously the Beta integra l. We present a proof due to Mourad Ismail which has been described as the “Proof from the Book” for this result. We also show some classical id entities which follow from his identity. Much of the material we present i s taken from the lectures on Special Functions given by Dick Askey. \n\nTh e talk will be accessible to students provided they are willing to believe some unbelievable ideas of complex analysis.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/7/ END:VEVENT BEGIN:VEVENT SUMMARY:K Ramasubramanian (IIT Mumbai) DTSTART:20210202T110000Z DTEND:20210202T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/8 DESCRIPTION:Title: Construction of $4\\times 4$ Pandiagonal Magic Squares w ith Turagagati\nby K Ramasubramanian (IIT Mumbai) as part of Ashoka Un iversity mathematics seminars\n\n\nAbstract\nn India\, magic squares seem to have been known for more than two millennia. However\, among the extant texts\, a systematic introduction to the principles governing their const ruction can be found only in the work of Nārāyaṇa Paṇḍita (c. 1356 CE). He has dedicated one full chapter of his Gaṇitakaumudī to describ e Bhadragaṇita\, namely\, methods for constructing magic squares of diff erent orders. The focus of this talk would be to present the algorithm pro pounded by Nārāyaṇa Paṇḍita for constructing pan-diagonal magic sq uares of order 4 using only turagagati or horse-moves. Earlier studies by a few scholars starting with Datta and Singh have discussed this algorithm \, showing how consecutive pairs get placed in horse-moves. Whereas\, in o ur presentation\, we shall demonstrate that the construction of the entire square can be made by employing only horse-moves. We shall also touch upo n the properties exhibited by such pan-diagonal squares.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/8/ END:VEVENT BEGIN:VEVENT SUMMARY:S. M. Srivastava (ISI\, Kolkatta) DTSTART:20210302T110000Z DTEND:20210302T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/9 DESCRIPTION:Title: The birth of set theory\nby S. M. Srivastava (ISI\, Kolkatta) as part of Ashoka University mathematics seminars\n\n\nAbstract\ nGreat Russian born German mathematician Georg Cantor discovered set theor y towards the end of nineteenth century. This had a great impact on mathem atics. Contrary to general perception Cantor was a hard headed mathematici an. He wrote his doctoral thesis in number theory under Kummer. He joined Halle university in Germany where he came in contact with Heine. Heine gav e him the following problem from the then emerging area of Fourier series initiated by French mathematician Joseph Fourier: Can a function $f: {\\ma thbb R}\\rightarrow {\\mathbb R}$ have more than one representation by a t rigonometric series? This is equivalent to the following problem: Consider the trigonometric series\n$$S \\sim \\sum_{-\\infty}^{\\infty} c_n e^{inx }.$$\nSuppose $\\lim_{N\\rightarrow \\infty}\\sum_{-N}^{N}e^{inx}\\rightar row 0$ for all $x$. Does it follow that $c_n = 0$ for all $n$?\n\nCantor a nswered this question in the affirmative. Further\, he called a set $D$ of real numbers \n"a set of uniqueness" if whenever \n$$\\lim_{N\\rightarrow \\infty}\\sum_{-N}^{N}e^{inx}\\rightarrow 0$$ \nfor all $x\\in {\\mathbb R}\\setminus D$\, $c_n = 0$ for all $n$. While studying the sets of unique ness\, he was very naturally led to well-ordered sets\, ordinal and cardin al numbers and extended the methods of induction well beyond natural numbe rs to all ordinal numbers.\n\nIn this talk we shall narrate this very fasc inating story of a highly original profound discovery. The talk is aimed m ainly to undergraduate students of mathematics.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Jishnu Ray (CRM\, Université de Montréal) DTSTART:20210216T110000Z DTEND:20210216T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/10 DESCRIPTION:Title: Selmer groups of elliptic curves and Iwasawa algebras\nby Jishnu Ray (CRM\, Université de Montréal) as part of Ashoka Unive rsity mathematics seminars\n\n\nAbstract\nThe Selmer group of an elliptic curve over a number field encodes several arithmetic data of the curve pro viding a p-adic approach to the Birch and Swinnerton Dyer\, connecting it with the p-adic L-function via the Iwasawa main conjecture. Under suitable extensions of the number field\, the dual Selmer group becomes a module o ver the Iwasawa algebra of a certain compact p-adic Lie group over Z_p (th e ring of p-adic integers)\, which is a completed group algebra.\nIn this talk\, we give an explicit ring-theoretic presentation\, by generators and relations\, of Iwasawa algebras and explore the structure of Selmer group s over non-commutative Lie extensions.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Rishideep Roy (IIM\, Bangalore) DTSTART:20210316T110000Z DTEND:20210316T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/11 DESCRIPTION:Title: Multinomial data with randomly varying probabilities\nby Rishideep Roy (IIM\, Bangalore) as part of Ashoka University mathema tics seminars\n\n\nAbstract\nWe consider a sequence of multinomial data\, with multiple classes for each trial. We assume that the probabilities ass ociated with these classes vary randomly over time. We show that under sui tably chosen prior distribution on these probabilities\, there is posterio r consistency. We further consider an application of this method in callin g elections\, with voting data coming in multiple rounds.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Aditi Dandapani (Ecole polytechnique) DTSTART:20210305T043000Z DTEND:20210305T053000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/12 DESCRIPTION:Title: From Quadratic Hawkes Processes to Super Heston Rough V olatility\nby Aditi Dandapani (Ecole polytechnique) as part of Ashoka University mathematics seminars\n\nAbstract: TBA\n\nUsing microscopic pric e models based on Hawkes processes\, it has been shown that under some no- arbitrage condition\, the high degree of endogeneity of markets together w ith the phenomenon of metaorders splitting generate rough Heston-type vola tility at the macroscopic scale. One additional impor- tant feature of fin ancial dynamics\, at the heart of several influential works in econophysic s\, is the so-called feedback or Zumbach effect. This essentially means th at past trends in returns convey significant information on future volatil ity. A natural way to reproduce this property in microstructure mod- eling is to use quadratic versions of Hawkes processes. We show that after suit able rescaling\, the long term limits of these processes are refined versi ons of rough Heston models where the volatility coefficient is enhanced co mpared to the square root characterizing Heston-type dynamics. Furthermore the Zumbach effect remains explicit in these limiting rough volatility mo dels.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/12/ END:VEVENT BEGIN:VEVENT SUMMARY:Shanta Laishram (ISI\, Delhi) DTSTART:20210413T110000Z DTEND:20210413T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/13 DESCRIPTION:Title: On a Conjecture of Erdos on Squares in Arithmetic Progr ession\nby Shanta Laishram (ISI\, Delhi) as part of Ashoka University mathematics seminars\n\n\nAbstract\nA remarkable result of Erdos and Selfr idge states that a product of a two or more consecutive integers is never a perfect power. Erdos conjectured that if a product of $k$ consecutive te rms of an arithmetic progression is a perfect power\, then $k$ is bounded explicitly. In this talk\, I will give an overview of the problem with emp hasis on the squares case and present some new results and related problem s.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/13/ END:VEVENT BEGIN:VEVENT SUMMARY:Rajendra Bhatia (Ashoka University) DTSTART:20210420T110000Z DTEND:20210420T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/14 DESCRIPTION:Title: On Loewner Matrices\nby Rajendra Bhatia (Ashoka Uni versity) as part of Ashoka University mathematics seminars\n\nAbstract: TB A\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/14/ END:VEVENT BEGIN:VEVENT SUMMARY:C. S. Rajan (School of Mathematics\, TIFR) DTSTART:20210831T110000Z DTEND:20210831T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/16 DESCRIPTION:Title: From Clay tablets to Clay Prize: Journey of the local- global principle in number theory.\nby C. S. Rajan (School of Mathemat ics\, TIFR) as part of Ashoka University mathematics seminars\n\n\nAbstrac t\nExamples of Pythagorean triplets like \n$3^2+4^2=5^2\, ~5^2+12^2=13^2$\ , etc. \nwere known to ancient Sumerians. Starting with the theorem of Py thagoras and \na beautiful proof attributed to Baudhayana (200 years befor e Pythagoras)\, we will \ndescribe the general formula to get all Pythagor ean triplets.\n\nWe will next discuss how to solve more general quadratic equations using geometry\, making \nuse of stereographic projections. We w ill also relate it to the famous $t=tan(\\theta/2)$ \nsubstitution used in integrating trignometric functions. \n\nThis leads us to a theorem of Leg endre and the beginnings of the local-global principle in number theory. W e conclude by stating some open questions. \n\nThe talk should be accessib le to students.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/16/ END:VEVENT BEGIN:VEVENT SUMMARY:Amritanshu Prasad (IMSc\, Chennai) DTSTART:20210914T110000Z DTEND:20210914T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/17 DESCRIPTION:Title: Generating Functions Associated to Species of Structure s\nby Amritanshu Prasad (IMSc\, Chennai) as part of Ashoka University mathematics seminars\n\n\nAbstract\nSpecies of structures were introduced by André Joyal and his group in\nQuébec in the 1980s. They provide a way of organizing classes of labeled\ncombinatorial objects that elevates the art of studying their generating\nfunctions to a science.\n\nCombinatoria l relationships realized bijectively among such classes are\ntransformed i nto functional relationships of their generating functions.\nFor example\, from the combinatorial interpretation of a set partition as a\nset of non -empty sets\, the exponential generating function for Bell\nnumbers exp(ex p(z)-1) becomes blindingly clear\; exp(z) is the generating\nfunction of s ets\, and exp(z)-1 that of non-empty ones.\n\nI will discuss species of st ructures and some generating functions that\nare associated to them. I wil l explain how algebraic operations on\ngenerating functions can be seen to arise from set-theoretic operations on\nspecies. I will introduce the Fro benius characteristic generating\nfunction of a species of structures\, wh ich is a simple variation of the\ncycle index generating function\, landin g us in the world of symmetric\npolynomials.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/17/ END:VEVENT BEGIN:VEVENT SUMMARY:Rajeeva Karandikar (Chennai Mathematical Institute) DTSTART:20210928T110000Z DTEND:20210928T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/18 DESCRIPTION:Title: Power and Limitations of Opinion Polls\nby Rajeeva Karandikar (Chennai Mathematical Institute) as part of Ashoka University m athematics seminars\n\n\nAbstract\nHow can obtaining the opinion of\, say 20000 voters be sufficient to predict the outcome of an election in a coun try with over 80 million voters?\n\nDo the opinion polls conducted say a m onth before the election accurately predict what is to happen on the votin g day?\n\nI will answer these questions and share my own experiences with opinion polls and exit polls in India over the last 2 decades.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/18/ END:VEVENT BEGIN:VEVENT SUMMARY:R B Bapat (ISI\, Delhi) DTSTART:20211019T110000Z DTEND:20211019T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/19 DESCRIPTION:Title: A glimpse of spectral graph theory\nby R B Bapat (I SI\, Delhi) as part of Ashoka University mathematics seminars\n\n\nAbstrac t\nSpectral graph theory is the study of the interplay\nbetween the spectr um of the adjacency matrix of a graph and properties\nof the graph. We pre sent a selection of results from spectral graph\ntheory. These include a r esult on non-isomorphic cospectral trees\, a\nproblem on decomposing the c omplete graph on ten vertices by copies of\nthe Petersen graph and a chara cterization of nonsingular trees. We\nconclude by presenting a path-breaki ng recent proof of the sensitivity\nconjecture by Huang.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/19/ END:VEVENT BEGIN:VEVENT SUMMARY:A. Raghuram (Fordham College) DTSTART:20211102T110000Z DTEND:20211102T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/20 DESCRIPTION:by A. Raghuram (Fordham College) as part of Ashoka University mathematics seminars\n\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/20/ END:VEVENT BEGIN:VEVENT SUMMARY:Agnid Banerjee (TIFR CAM\, Bangalore) DTSTART:20211116T110000Z DTEND:20211116T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/21 DESCRIPTION:by Agnid Banerjee (TIFR CAM\, Bangalore) as part of Ashoka Uni versity mathematics seminars\n\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/21/ END:VEVENT BEGIN:VEVENT SUMMARY:Manjil Saikia (Cardiff) DTSTART:20211123T110000Z DTEND:20211123T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/22 DESCRIPTION:Title: Parity Biases in Partitions and Restricted Partitions\nby Manjil Saikia (Cardiff) as part of Ashoka University mathematics se minars\n\n\nAbstract\nRecently\, Kim\, Kim & Lovejoy (2020) proved that pa rtitions with more odd parts than even parts are more in number than parti tions with more even parts than odd parts (for all n>2). This\, they calle d as parity bias in integer partitions. We prove that this is true even if we restrict the partitions under consideration to that of distinct parts partitions (for all n>19). We also show that parity bias is reversed if we restrict the smallest part that can occur in a partition to 2 (for all n> 7). Some other results of similar flavour can be proved for partitions whe re we restrict the set of allowed parts. All of these results are proved c ombinatorially. Using analytical techniques some of the inequalities can b e further strengthened\, we will discuss this as well as some related resu lts for other classes of partitions\, if time permits. This talk is based on joint work with K. Banerjee\, S. Bhattacharjee\, M. G. Dastidar & P. J. Mahanta as well as on a work in progress with P. J. Mahanta & A. Sarma.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/22/ END:VEVENT BEGIN:VEVENT SUMMARY:Antar Bandopadhyay (ISI\, Delhi) DTSTART:20210118T110000Z DTEND:20210118T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/23 DESCRIPTION:by Antar Bandopadhyay (ISI\, Delhi) as part of Ashoka Universi ty mathematics seminars\n\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/23/ END:VEVENT BEGIN:VEVENT SUMMARY:Antar Bandopadhyay (ISI\, Delhi) DTSTART:20220118T110000Z DTEND:20220118T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/24 DESCRIPTION:by Antar Bandopadhyay (ISI\, Delhi) as part of Ashoka Universi ty mathematics seminars\n\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/24/ END:VEVENT BEGIN:VEVENT SUMMARY:U. K. Anandavardhanan (IIT\, Bombay) DTSTART:20220301T110000Z DTEND:20220301T120000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/25 DESCRIPTION:Title: Orthogonality of invariant vectors\nby U. K. Ananda vardhanan (IIT\, Bombay) as part of Ashoka University mathematics seminars \n\n\nAbstract\nThis talk is about finite groups and their representation theory. Given a group G and two Gelfand subgroups $H$ and $K$ of $G$\, ass ociated to an irreducible representation $\\pi$ of $G$\, there is a notion of $H$ and $K$ being correlated with respect to $\\pi \\in G$. This notio n was defined by Benedict Gross in 1991. Towards the end of the talk\, we' ll present some recent results regarding this theme (which are joint with Arindam Jana).\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/25/ END:VEVENT BEGIN:VEVENT SUMMARY:Naina Praveen (Ashoka University) DTSTART:20220322T113000Z DTEND:20220322T123000Z DTSTAMP:20260404T100021Z UID:ashokamathseminars/26 DESCRIPTION:Title: Restricted Invertibility of Continuous Matrix Functions \nby Naina Praveen (Ashoka University) as part of Ashoka University ma thematics seminars\n\n\nAbstract\nIn 1987\, Bourgain and Tzafriri proved t he Restricted Invertibility Theorem\, which roughly states that any matrix with columns of unit length and bounded operator norm has a large coordin ate subspace on which it is well-invertible. This bound happens to be opti mal upto universal constants. We prove that the Restricted Invertibility T heorem can further be extended from matrices to continuous matrix function s satisfying similar hypotheses.\n LOCATION:https://stable.researchseminars.org/talk/ashokamathseminars/26/ END:VEVENT END:VCALENDAR