IISER Pune Digital Repository

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  • Item type:Item, Access status: Open Access ,
    Representation Spectra of Lattices in Lie Groups and its applications to Locally Symmetric Spaces
    (2026-10) MONDAL, KAUSTABH; BHAGWAT, CHANDRASHEEL; Sachdeva, Gunja; Dept. of Mathematics; 20202024
    Let $(\tau, V_{\tau})$ be a finite dimensional representation of a maximal compact subgroup $K$ of a connected non-compact semisimple Lie group $G$, and let $\Gamma$ be a uniform torsion-free lattice in $G$. We obtain an infinitesimal version of the celebrated Matsushima-Murakami formula, which relates the dimension of the space of automorphic forms associated to $\tau$ and multiplicities of irreducible $\tau^\vee$-spherical spectra in $L^2(\Gamma \backslash G)$. This result gives a promising tool to study the joint spectra of all central operators on the homogeneous bundle associated to the locally symmetric space and hence its infinitesimal $\tau$-isospectrality. Along with this we prove that the almost equality of $\tau$-spherical spectra of two lattices assures the equality of their $\tau$-spherical spectra. Let $\Gamma_1$ and $\Gamma_2$ be two lattices of finite covolume in a semisimple Lie group $G$. We prove a spectral rigidity result for the representation spectra of the right regular representations $L^2(\Gamma_1 \backslash G)$ and $L^2(\Gamma_2 \backslash G)$ of $G$. This can be thought of as an analogue of the strong multiplicity one theorem and it generalises \cite[Thm 1.1]{BR} by Bhagwat and Rajan to the case of non-uniform lattices. Let $G$ be the real points of a connected semisimple simply connected algebraic group over $\Q$ such that $G$ has a compact Cartan subgroup and let $\Gamma$ be a uniform lattice in $G$. Let $\widehat{G}_d$ denote the set of equivalence classes of unitary discrete series representations of $G$. We prove that for any finite subset of $\widehat{G}_d$ satisfying a certain condition, the associated finite set of discrete series multiplicities in $L^2(\Gamma \backslash G)$ determines all discrete series multiplicities in $L^2(\Gamma \backslash G)$. This allows us to obtain a refinement of the strong multiplicity one result for discrete series representations. As an application, we deduce that for two given levels, the equality of the dimensions of the spaces of cusp forms over a suitable finite set of weights implies the equality of the dimensions of the spaces of cusp forms for all weights.
  • Item type:Item, Access status: Embargo ,
    A COMPREHENSIVE SEARCH FOR VECTOR-LIKE LEPTONS IN THREE AND FOUR-LEPTON FINAL STATES
    (2026-07) YASH, KUMAR; DUBE, SOURABH; Dept. of Physics; 20203754
    A search for vector-like leptons is carried out in multilepton final states, specifically events with exactly three and four or more leptons. The analysis is based on proton-proton collision data corresponding to an integrated luminosity of 138 fb-1 collected during Run 2 (2016–2018) at 13 TeV, and an additional 62 fb-1 recorded in Run 3(2022-2023) at 13.6 TeV, using the CMS detector at the LHC. A cut-based selection strategy enhances the separation between the signal and Standard Model background processes. Since no significant deviation from the expected Standard Model background is observed, upper limits at 95% confidence level are placed on the production cross sections for different vector-like lepton mass hypotheses, assuming they couple to first- and second-generation Standard Model leptons.
  • Item type:Item, Access status: Embargo ,
    Water Access and Agrarian Livelihoods in Two Villages in the Marathwada Region
    (2026-07) THATTE, KALYANI; THOMAS, BEJOY K; Dept. of Humanities and Social Sciences; 20203738
    The agricultural sector in India faces economic and ecological challenges, including rising input costs, market fluctuations, changing trade policies, water stress, and climatic variations. The impacts of these factors are not felt uniformly across all farm households. Some households become increasingly vulnerable while others adapt better. I take access to water as a point of departure in my research and present micro-level evidence from two villages in the Marathwada region in Maharashtra, which is known for water scarcity and drought, in addition to general backwardness. The study approaches the problem in three steps. First, I look at how livelihood choices differ between small and large farmer households. Second, I examine the factors and processes that determine groundwater access, and the impact on small farmer households. Finally, I look at the implications of cropping pattern changes on small farmer households, especially in exacerbating their vulnerability. The data were collected during 2022-23 using questionnaire surveys from a sample of 184 households, informant interviews, and field observations. I use a largely qualitative and case study approach to structure and analyse field data. Chapter 1 of the thesis presents the overall approach and framework of the study. Chapter 2 introduces the field site and explains the research methods. Chapters 3 to 5 report findings on livelihood choices, groundwater access and cropping pattern changes. Chapter 6 concludes the thesis by looking at the theoretical and policy implications of the study. This thesis eclectically draws upon three theoretical approaches, namely political economy, agrarian studies, and sustainable livelihoods. Chapter 3 shows that livelihood diversification is undertaken largely out of necessity and not as a choice. Various factors at the household, village, and regional scales play a role in decisions to diversify. Chapter 4 argues that groundwater dependence is the result of uncertainties in agriculture and generally livelihoods. Large farmers have the means to gain and sustain groundwater access whereas small farmer households face internal and external barriers. Chapter 5 finds that farm households have limited agency and are primarily responding to external signals while deciding their cropping pattern. Small and marginal farmers, especially, are more vulnerable. The thesis contributes to efforts to revise frameworks to assess sustainable livelihoods by adding empirical evidence on water access and livelihoods. The study is also relevant in the context of the debates around the effectiveness of programs such as Jalyukt Shivar Abhiyan, Magel Tyala Shettale Yojana, and Nanaji Deshmukh Krushi Sanjivani Prakalp which focus on building sustainable livelihoods and improving the resilience of farm households in Maharashtra.
  • Item type:Item,
    Vascular tree structure-based perfusion phantom fabrication using modified Hele-Shaw cell method
    (Springer Nature, 2026-10) Das, Susweta; Rakshe, Makrand; Sarkar, Soumyajit; Paul, Ria; MARATHE, SHRUTI D.; ABRAHAM, NIXON M.; Gandhi, Prasanna S.; Varma, Hari M.; Dept. of Biology
    Tissue phantoms mimicking microvasculature and perfusion are essential for vasculature modelling and calibrating imaging systems, which require faithful replication of vascular geometry and flow. Conventional fabrication methods, including lithographic micromachining and additive manufacturing remain constrained by predefined designs, rectangular channel cross-sections, limited scalability, and high production costs. Here we present a lithography-free approach based on a modified lifted Hele-Shaw cell method where, unlike above-mentioned methods, random fractal-like vascular structures emerge naturally. This results in channels of widths 100-1000 μm with smooth Gaussian cross-section and natural diameter tapering. We demonstrate this with four phantom designs: a planar vascular tree, a cerebral vasculature-mimicking guided tree network, a conformable curved substrate and a retinal vasculature-mimicking network. Flow visualisation with laser speckle contrast imaging shows close agreement with in vivo observations and consistency with the generalized Murray’s law. This approach uniquely combines fractal-like network formation leading towards realistic vascular geometry and flow characteristics, offering an in vitro alternative to small animal vascular models.
  • Item type:Item,
    Odors count globally: an exploratory study on the number of conscious odor perceptions across 19 locations on five continents
    (Elsevier B.V., 2026-12) Reichert, Aleksandra; ABRAHAM NIXON M.; ABRAHAM, JANCY N.; RAWAT, DEVESH et al.; Dept. of Biology
    People around the world perceive odors in similar ways; however, it remains unclear whether they are equally aware of those present in the ambient air. Previous research on odor awareness has predominantly relied on self-report measures that may be prone to recall bias. To address this, we conducted a large-scale, global study to develop a comprehensive, multilevel model that would explain the variability in the frequency of conscious odor perception across geographic regions, measured through both self-declaration and behaviorally. Our model incorporates both individual and location-related factors to predict odor counts. The study involved specialized chemosensory laboratories in 19 locations across 18 countries and a full sample of 971 participants. Primary analyses were conducted on the full sample, with additional sensitivity analyses performed on a restricted subsample of 549 participants. For the first time at a global scale, we employed a behavioral measure of odor awareness based on odor counting performed 24 h after the testing session. Our results revealed that location accounted for 13.1% of the variability in odor counts, while individual participant characteristics explained an additional 4.4%. Self-assessed odor awareness significantly predicted the number of consciously perceived odors; however, age, gender, and chemosensory sensitivity were not associated with odor counts. This study provides the first global-scale exploration of variability in behavioral odor awareness.